87716920 has 64 divisors (see below), whose sum is σ = 209116800. Its totient is φ = 33022080.

The previous prime is 87716911. The next prime is 87716933. The reversal of 87716920 is 2961778.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160087 + ... + 160633.

It is an arithmetic number, because the mean of its divisors is an integer number (3267450).

Almost surely, 2^87716920 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 87716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104558400).

87716920 is an abundant number, since it is smaller than the sum of its proper divisors (121399880).

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

87716920 is a wasteful number, since it uses less digits than its factorization.

87716920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 87716920 is about 9365.7311513838. The cubic root of 87716920 is about 444.3185631459.

The spelling of 87716920 in words is "eighty-seven million, seven hundred sixteen thousand, nine hundred twenty".