10333632 has 56 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 3405568.

The previous prime is 10333627. The next prime is 10333639. The reversal of 10333632 is 23633301.

10333632 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 super-2 number, since 2×10333632² = 213567900622848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10333599 and 10333608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20293 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^10333632 is an apocalyptic number.

10333632 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 10333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

10333632 is an abundant number, since it is smaller than the sum of its proper divisors (17317824).

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

10333632 is a wasteful number, since it uses less digits than its factorization.

10333632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 10333632 is about 3214.5967087646. The cubic root of 10333632 is about 217.8132676978.

Adding to 10333632 its reverse (23633301), we get a palindrome (33966933).

The spelling of 10333632 in words is "ten million, three hundred thirty-three thousand, six hundred thirty-two".