87244800 has 180 divisors, whose sum is σ = 292543776. Its totient is φ = 22937600.

The previous prime is 87244783. The next prime is 87244813. The reversal of 87244800 is 844278.

It is a super-2 number, since 2×87244800² = 15223310254080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228765 + ... + 1228835.

Almost surely, 2^87244800 is an apocalyptic number.

87244800 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 87244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146271888).

87244800 is an abundant number, since it is smaller than the sum of its proper divisors (205298976).

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

87244800 is an equidigital number, since it uses as much as digits as its factorization.

87244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 87244800 is about 9340.4924923689. The cubic root of 87244800 is about 443.5199746798.

The spelling of 87244800 in words is "eighty-seven million, two hundred forty-four thousand, eight hundred".