10345632 has 96 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 3072000.

The previous prime is 10345619. The next prime is 10345637. The reversal of 10345632 is 23654301.

It is a happy number.

10345632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102382 + ... + 102482.

It is an arithmetic number, because the mean of its divisors is an integer number (314874).

Almost surely, 2^10345632 is an apocalyptic number.

10345632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113952).

10345632 is an abundant number, since it is smaller than the sum of its proper divisors (19882272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10345632 is a wasteful number, since it uses less digits than its factorization.

10345632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 10345632 is about 3216.4626532885. The cubic root of 10345632 is about 217.8975474592.

Adding to 10345632 its reverse (23654301), we get a palindrome (33999933).

It can be divided in two parts, 1034 and 5632, that added together give a palindrome (6666).

The spelling of 10345632 in words is "ten million, three hundred forty-five thousand, six hundred thirty-two".