10264032 has 72 divisors (see below), whose sum is σ = 29503656. Its totient is φ = 3384576.

The previous prime is 10264031. The next prime is 10264061. The reversal of 10264032 is 23046201.

It is a happy number.

10264032 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10263996 and 10264014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45103 + ... + 45329.

It is an arithmetic number, because the mean of its divisors is an integer number (409773).

Almost surely, 2^10264032 is an apocalyptic number.

10264032 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 10264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751828).

10264032 is an abundant number, since it is smaller than the sum of its proper divisors (19239624).

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

10264032 is a wasteful number, since it uses less digits than its factorization.

10264032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10264032 is about 3203.7527994525. The cubic root of 10264032 is about 217.3231539095.

The spelling of 10264032 in words is "ten million, two hundred sixty-four thousand, thirty-two".