10285632 has 84 divisors (see below), whose sum is σ = 33706816. Its totient is φ = 2937600.

The previous prime is 10285607. The next prime is 10285651. The reversal of 10285632 is 23658201.

10285632 is a `hidden beast` number, since 1 + 0 + 28 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 10285596 and 10285605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2757 + ... + 5307.

Almost surely, 2^10285632 is an apocalyptic number.

10285632 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 10285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853408).

10285632 is an abundant number, since it is smaller than the sum of its proper divisors (23421184).

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

10285632 is a wasteful number, since it uses less digits than its factorization.

10285632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10285632 is about 3207.1220743838. The cubic root of 10285632 is about 217.4754946628.

The spelling of 10285632 in words is "ten million, two hundred eighty-five thousand, six hundred thirty-two".