10076832 has 96 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3297024.

The previous prime is 10076831. The next prime is 10076851. The reversal of 10076832 is 23867001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10076796 and 10076805.

It is not an unprimeable number, because it can be changed into a prime (10076831) 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, 92394 + ... + 92502.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 2^10076832 is an apocalyptic number.

10076832 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 10076832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

10076832 is an abundant number, since it is smaller than the sum of its proper divisors (19860768).

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

10076832 is a wasteful number, since it uses less digits than its factorization.

10076832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

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

The square root of 10076832 is about 3174.4026209667. The cubic root of 10076832 is about 215.9938269841.

The spelling of 10076832 in words is "ten million, seventy-six thousand, eight hundred thirty-two".