87477600 has 288 divisors, whose sum is σ = 335978496. Its totient is φ = 19353600.

The previous prime is 87477587. The next prime is 87477617. The reversal of 87477600 is 677478.

It is a happy number.

It is a congruent number.

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, 688737 + ... + 688863.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^87477600 is an apocalyptic number.

87477600 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 87477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

87477600 is an abundant number, since it is smaller than the sum of its proper divisors (248500896).

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

87477600 is a wasteful number, since it uses less digits than its factorization.

87477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 87477600 is about 9352.9460599321. The cubic root of 87477600 is about 443.9141137340.

The spelling of 87477600 in words is "eighty-seven million, four hundred seventy-seven thousand, six hundred".