87931116 has 192 divisors, whose sum is σ = 293529600. Its totient is φ = 22125312.

The previous prime is 87931057. The next prime is 87931153. The reversal of 87931116 is 61113978.

It is a super-2 number, since 2×87931116² = 15463762322010912, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 225850 + ... + 226238.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^87931116 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 87931116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

87931116 is an abundant number, since it is smaller than the sum of its proper divisors (205598484).

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

87931116 is a wasteful number, since it uses less digits than its factorization.

87931116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 87931116 is about 9377.1592713359. The cubic root of 87931116 is about 444.6799297543.

The spelling of 87931116 in words is "eighty-seven million, nine hundred thirty-one thousand, one hundred sixteen".