82632816 has 150 divisors (see below), whose sum is σ = 270912720. Its totient is φ = 23510592.

The previous prime is 82632793. The next prime is 82632817. The reversal of 82632816 is 61823628.

82632816 is a `hidden beast` number, since 8 + 2 + 632 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82632817) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345625 + ... + 345863.

Almost surely, 2^82632816 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 82632816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135456360).

82632816 is an abundant number, since it is smaller than the sum of its proper divisors (188279904).

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

82632816 is a wasteful number, since it uses less digits than its factorization.

82632816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82632816 is about 9090.2594022393. The cubic root of 82632816 is about 435.5628702475.

The spelling of 82632816 in words is "eighty-two million, six hundred thirty-two thousand, eight hundred sixteen".