87186400 has 72 divisors (see below), whose sum is σ = 243265680. Its totient is φ = 29890560.

The previous prime is 87186373. The next prime is 87186409. The reversal of 87186400 is 468178.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87186409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185 + ... + 13384.

It is an arithmetic number, because the mean of its divisors is an integer number (3378690).

Almost surely, 2^87186400 is an apocalyptic number.

87186400 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 87186400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121632840).

87186400 is an abundant number, since it is smaller than the sum of its proper divisors (156079280).

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

87186400 is a wasteful number, since it uses less digits than its factorization.

87186400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15596 (or 15583 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 87186400 is about 9337.3657955550. The cubic root of 87186400 is about 443.4209913287.

The spelling of 87186400 in words is "eighty-seven million, one hundred eighty-six thousand, four hundred".