87933600 has 360 divisors, whose sum is σ = 340290720. Its totient is φ = 22049280.

The previous prime is 87933589. The next prime is 87933607. The reversal of 87933600 is 633978.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (87933607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490371 + ... + 1490429.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^87933600 is an apocalyptic number.

87933600 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 87933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

87933600 is an abundant number, since it is smaller than the sum of its proper divisors (252357120).

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

87933600 is a wasteful number, since it uses less digits than its factorization.

87933600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 87933600 is about 9377.2917198944. The cubic root of 87933600 is about 444.6841170264.

The spelling of 87933600 in words is "eighty-seven million, nine hundred thirty-three thousand, six hundred".