86978976 has 96 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 24487680.

The previous prime is 86978959. The next prime is 86978977. The reversal of 86978976 is 67987968.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (86978977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46801 + ... + 48623.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2^86978976 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 86978976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

86978976 is an abundant number, since it is smaller than the sum of its proper divisors (177778272).

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

86978976 is a wasteful number, since it uses less digits than its factorization.

86978976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 86978976 is about 9326.2519802973. The cubic root of 86978976 is about 443.0690664413.

The spelling of 86978976 in words is "eighty-six million, nine hundred seventy-eight thousand, nine hundred seventy-six".