10165632 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 3238400.

The previous prime is 10165607. The next prime is 10165633. The reversal of 10165632 is 23656101.

It is a tau number, because it is divible by the number of its divisors (64).

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 (10165633) 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, 8257 + ... + 9407.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^10165632 is an apocalyptic number.

10165632 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 10165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

10165632 is an abundant number, since it is smaller than the sum of its proper divisors (18035328).

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

10165632 is a wasteful number, since it uses less digits than its factorization.

10165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10165632 is about 3188.3588254775. The cubic root of 10165632 is about 216.6264393430.

The spelling of 10165632 in words is "ten million, one hundred sixty-five thousand, six hundred thirty-two".