82628640 has 192 divisors, whose sum is σ = 299013120. Its totient is φ = 21288960.

The previous prime is 82628633. The next prime is 82628641. The reversal of 82628640 is 4682628.

82628640 is a `hidden beast` number, since 8 + 2 + 6 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82628595 and 82628604.

It is not an unprimeable number, because it can be changed into a prime (82628641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133612 + ... + 134228.

It is an arithmetic number, because the mean of its divisors is an integer number (1557360).

Almost surely, 2^82628640 is an apocalyptic number.

82628640 is a gapful number since it is divisible by the number (80) 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 82628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

82628640 is an abundant number, since it is smaller than the sum of its proper divisors (216384480).

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

82628640 is a wasteful number, since it uses less digits than its factorization.

82628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82628640 is about 9090.0297029218. The cubic root of 82628640 is about 435.5555328027. Note that the first 4 decimals are identical.

The spelling of 82628640 in words is "eighty-two million, six hundred twenty-eight thousand, six hundred forty".