80631600 has 240 divisors, whose sum is σ = 306289920. Its totient is φ = 17740800.

The previous prime is 80631599. The next prime is 80631613. The reversal of 80631600 is 613608.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243435 + ... + 243765.

It is an arithmetic number, because the mean of its divisors is an integer number (1276208).

Almost surely, 2^80631600 is an apocalyptic number.

80631600 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 80631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153144960).

80631600 is an abundant number, since it is smaller than the sum of its proper divisors (225658320).

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

80631600 is a wasteful number, since it uses less digits than its factorization.

80631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 80631600 is about 8979.5100089036. The cubic root of 80631600 is about 432.0179176382.

The spelling of 80631600 in words is "eighty million, six hundred thirty-one thousand, six hundred".