87200064 has 224 divisors, whose sum is σ = 299923200. Its totient is φ = 24634368.

The previous prime is 87200051. The next prime is 87200077. The reversal of 87200064 is 46000278.

It is an interprime number because it is at equal distance from previous prime (87200051) and next prime (87200077).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979732 + ... + 979820.

Almost surely, 2^87200064 is an apocalyptic number.

87200064 is a gapful number since it is divisible by the number (84) 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 87200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149961600).

87200064 is an abundant number, since it is smaller than the sum of its proper divisors (212723136).

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

87200064 is an frugal number, since it uses more digits than its factorization.

87200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87200064 is about 9338.0974507659. The cubic root of 87200064 is about 443.4441546811. Note that the first 3 decimals are identical.

The spelling of 87200064 in words is "eighty-seven million, two hundred thousand, sixty-four".