87084720 has 200 divisors, whose sum is σ = 307882080. Its totient is φ = 22809600.

The previous prime is 87084719. The next prime is 87084737. The reversal of 87084720 is 2748078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 576645 + ... + 576795.

Almost surely, 2^87084720 is an apocalyptic number.

87084720 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 87084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

87084720 is an abundant number, since it is smaller than the sum of its proper divisors (220797360).

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

87084720 is a wasteful number, since it uses less digits than its factorization.

87084720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87084720 is about 9331.9194167117. The cubic root of 87084720 is about 443.2485462946.

The spelling of 87084720 in words is "eighty-seven million, eighty-four thousand, seven hundred twenty".