96980256 has 144 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 29735424.

The previous prime is 96980227. The next prime is 96980269. The reversal of 96980256 is 65208969.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 202225 + ... + 202703.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^96980256 is an apocalyptic number.

96980256 is a gapful number since it is divisible by the number (96) 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 96980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

96980256 is an abundant number, since it is smaller than the sum of its proper divisors (201790944).

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

96980256 is a wasteful number, since it uses less digits than its factorization.

96980256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 96980256 is about 9847.8554010505. The cubic root of 96980256 is about 459.4389126124.

It can be divided in two parts, 969 and 80256, that added together give a square (81225 = 285²).

The spelling of 96980256 in words is "ninety-six million, nine hundred eighty thousand, two hundred fifty-six".