87164400 has 120 divisors (see below), whose sum is σ = 293989120. Its totient is φ = 22014720.

The previous prime is 87164369. The next prime is 87164449. The reversal of 87164400 is 446178.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20889 + ... + 24711.

Almost surely, 2^87164400 is an apocalyptic number.

87164400 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 87164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146994560).

87164400 is an abundant number, since it is smaller than the sum of its proper divisors (206824720).

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

87164400 is a wasteful number, since it uses less digits than its factorization.

87164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 87164400 is about 9336.1876587824. The cubic root of 87164400 is about 443.3836916182.

The spelling of 87164400 in words is "eighty-seven million, one hundred sixty-four thousand, four hundred".