87951600 has 180 divisors, whose sum is σ = 333113352. Its totient is φ = 21312000.

The previous prime is 87951599. The next prime is 87951607. The reversal of 87951600 is 615978.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87951607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38490 + ... + 40710.

Almost surely, 2^87951600 is an apocalyptic number.

87951600 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 87951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166556676).

87951600 is an abundant number, since it is smaller than the sum of its proper divisors (245161752).

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

87951600 is a wasteful number, since it uses less digits than its factorization.

87951600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 87951600 is about 9378.2514361687. The cubic root of 87951600 is about 444.7144572226.

The spelling of 87951600 in words is "eighty-seven million, nine hundred fifty-one thousand, six hundred".