87705720 has 192 divisors, whose sum is σ = 311666400. Its totient is φ = 21934080.

The previous prime is 87705719. The next prime is 87705749. The reversal of 87705720 is 2750778.

87705720 is a `hidden beast` number, since 87 + 7 + 0 + 572 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311980 + ... + 312260.

Almost surely, 2^87705720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155833200).

87705720 is an abundant number, since it is smaller than the sum of its proper divisors (223960680).

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

87705720 is a wasteful number, since it uses less digits than its factorization.

87705720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 87705720 is about 9365.1332078086. The cubic root of 87705720 is about 444.2996516303.

The spelling of 87705720 in words is "eighty-seven million, seven hundred five thousand, seven hundred twenty".