96986880 has 108 divisors (see below), whose sum is σ = 335604360. Its totient is φ = 25860096.

The previous prime is 96986863. The next prime is 96986881. The reversal of 96986880 is 8868969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96986881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7311 + ... + 15729.

Almost surely, 2^96986880 is an apocalyptic number.

96986880 is a gapful number since it is divisible by the number (90) 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 96986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167802180).

96986880 is an abundant number, since it is smaller than the sum of its proper divisors (238617480).

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

96986880 is a wasteful number, since it uses less digits than its factorization.

96986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8446 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 96986880 is about 9848.1917121876. The cubic root of 96986880 is about 459.4493726593.

The spelling of 96986880 in words is "ninety-six million, nine hundred eighty-six thousand, eight hundred eighty".