86928960 has 224 divisors, whose sum is σ = 299630592. Its totient is φ = 21288960.

The previous prime is 86928953. The next prime is 86928977. The reversal of 86928960 is 6982968.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684417 + ... + 684543.

Almost surely, 2^86928960 is an apocalyptic number.

86928960 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 86928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815296).

86928960 is an abundant number, since it is smaller than the sum of its proper divisors (212701632).

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

86928960 is a wasteful number, since it uses less digits than its factorization.

86928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 86928960 is about 9323.5701316609. The cubic root of 86928960 is about 442.9841233416.

The spelling of 86928960 in words is "eighty-six million, nine hundred twenty-eight thousand, nine hundred sixty".