87467400 has 72 divisors (see below), whose sum is σ = 293750730. Its totient is φ = 23324160.

The previous prime is 87467389. The next prime is 87467411. The reversal of 87467400 is 476478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87467389) and next prime (87467411).

It can be written as a sum of positive squares in 3 ways, for example, as 68856804 + 18610596 = 8298^2 + 4314^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 22497 + ... + 26096.

Almost surely, 2^87467400 is an apocalyptic number.

It is an amenable number.

87467400 is an abundant number, since it is smaller than the sum of its proper divisors (206283330).

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

87467400 is a wasteful number, since it uses less digits than its factorization.

87467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48615 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87467400 is about 9352.4007613019. The cubic root of 87467400 is about 443.8968594123.

The spelling of 87467400 in words is "eighty-seven million, four hundred sixty-seven thousand, four hundred".