87465600 has 144 divisors (see below), whose sum is σ = 312200070. Its totient is φ = 23316480.

The previous prime is 87465593. The next prime is 87465667. The reversal of 87465600 is 656478.

It is a happy number.

87465600 is a `hidden beast` number, since 8 + 7 + 46 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 77580864 + 9884736 = 8808^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27282 + ... + 30318.

Almost surely, 2^87465600 is an apocalyptic number.

87465600 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 87465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156100035).

87465600 is an abundant number, since it is smaller than the sum of its proper divisors (224734470).

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

87465600 is a wasteful number, since it uses less digits than its factorization.

87465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87465600 is about 9352.3045288314. The cubic root of 87465600 is about 443.8938143927.

The spelling of 87465600 in words is "eighty-seven million, four hundred sixty-five thousand, six hundred".