80046624 has 96 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 21871872.

The previous prime is 80046559. The next prime is 80046643. The reversal of 80046624 is 42664008.

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

It is a junction number, because it is equal to n+sod(n) for n = 80046591 and 80046600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12867 + ... + 18045.

It is an arithmetic number, because the mean of its divisors is an integer number (2610720).

Almost surely, 2^80046624 is an apocalyptic number.

80046624 is a gapful number since it is divisible by the number (84) 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 80046624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

80046624 is an abundant number, since it is smaller than the sum of its proper divisors (170582496).

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

80046624 is a wasteful number, since it uses less digits than its factorization.

80046624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 80046624 is about 8946.8778911976. The cubic root of 80046624 is about 430.9706287193.

The spelling of 80046624 in words is "eighty million, forty-six thousand, six hundred twenty-four".