87931200 has 168 divisors, whose sum is σ = 329826112. Its totient is φ = 20090880.

The previous prime is 87931189. The next prime is 87931211. The reversal of 87931200 is 213978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87931189) and next prime (87931211).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 32292 + ... + 34908.

Almost surely, 2^87931200 is an apocalyptic number.

87931200 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 87931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164913056).

87931200 is an abundant number, since it is smaller than the sum of its proper divisors (241894912).

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

87931200 is a wasteful number, since it uses less digits than its factorization.

87931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 87931200 is about 9377.1637503032. The cubic root of 87931200 is about 444.6800713541.

The spelling of 87931200 in words is "eighty-seven million, nine hundred thirty-one thousand, two hundred".