10087632 has 80 divisors (see below), whose sum is σ = 30504000. Its totient is φ = 3182976.

The previous prime is 10087603. The next prime is 10087633. The reversal of 10087632 is 23678001.

10087632 = 78³ + 79³ + ... + 93³.

10087632 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 Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10087596 and 10087605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087633) 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, 7594 + ... + 8822.

It is an arithmetic number, because the mean of its divisors is an integer number (381300).

Almost surely, 2^10087632 is an apocalyptic number.

10087632 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 10087632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252000).

10087632 is an abundant number, since it is smaller than the sum of its proper divisors (20416368).

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

10087632 is a wasteful number, since it uses less digits than its factorization.

10087632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10087632 is about 3176.1032728801. The cubic root of 10087632 is about 216.0709643372.

The spelling of 10087632 in words is "ten million, eighty-seven thousand, six hundred thirty-two".