87346400 has 72 divisors (see below), whose sum is σ = 218517264. Its totient is φ = 34073600.

The previous prime is 87346397. The next prime is 87346411. The reversal of 87346400 is 464378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31469 + ... + 34131.

It is an arithmetic number, because the mean of its divisors is an integer number (3034962).

Almost surely, 2^87346400 is an apocalyptic number.

87346400 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 87346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109258632).

87346400 is an abundant number, since it is smaller than the sum of its proper divisors (131170864).

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

87346400 is a wasteful number, since it uses less digits than its factorization.

87346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 87346400 is about 9345.9295952837. The cubic root of 87346400 is about 443.6920733750.

The spelling of 87346400 in words is "eighty-seven million, three hundred forty-six thousand, four hundred".