87064000 has 56 divisors (see below), whose sum is σ = 215633808. Its totient is φ = 34822400.

The previous prime is 87063979. The next prime is 87064007. The reversal of 87064000 is 46078.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87064007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2559 + ... + 13441.

Almost surely, 2^87064000 is an apocalyptic number.

87064000 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 87064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107816904).

87064000 is an abundant number, since it is smaller than the sum of its proper divisors (128569808).

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

87064000 is a wasteful number, since it uses less digits than its factorization.

87064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 87064000 is about 9330.8091824879. The cubic root of 87064000 is about 443.2133895784.

The spelling of 87064000 in words is "eighty-seven million, sixty-four thousand".