10257632 has 96 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 3801600.

The previous prime is 10257631. The next prime is 10257649. The reversal of 10257632 is 23675201.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257631) 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, 56582 + ... + 56762.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^10257632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

10257632 is an abundant number, since it is smaller than the sum of its proper divisors (16160032).

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

10257632 is a wasteful number, since it uses less digits than its factorization.

10257632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 10257632 is about 3202.7538150785. The cubic root of 10257632 is about 217.2779748684.

Subtracting 10257632 from its reverse (23675201), we obtain a square (13417569 = 3663²).

The spelling of 10257632 in words is "ten million, two hundred fifty-seven thousand, six hundred thirty-two".