80628624 has 90 divisors (see below), whose sum is σ = 232478610. Its totient is φ = 26085888.

The previous prime is 80628623. The next prime is 80628643. The reversal of 80628624 is 42682608.

80628624 is a `hidden beast` number, since 8 + 0 + 6 + 28 + 624 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 63489024 + 17139600 = 7968^2 + 4140^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80628623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196932 + ... + 197340.

Almost surely, 2^80628624 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 80628624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116239305).

80628624 is an abundant number, since it is smaller than the sum of its proper divisors (151849986).

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

80628624 is a wasteful number, since it uses less digits than its factorization.

80628624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 451 counting only the distinct ones).

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

The square root of 80628624 is about 8979.3442967736. The cubic root of 80628624 is about 432.0126025130.

The spelling of 80628624 in words is "eighty million, six hundred twenty-eight thousand, six hundred twenty-four".