96975456 has 48 divisors (see below), whose sum is σ = 256012848. Its totient is φ = 32140800.

The previous prime is 96975443. The next prime is 96975481. The reversal of 96975456 is 65457969.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 96975399 and 96975408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14586 + ... + 20166.

It is an arithmetic number, because the mean of its divisors is an integer number (5333601).

Almost surely, 2^96975456 is an apocalyptic number.

96975456 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 96975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128006424).

96975456 is an abundant number, since it is smaller than the sum of its proper divisors (159037392).

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

96975456 is a wasteful number, since it uses less digits than its factorization.

96975456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5767 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The square root of 96975456 is about 9847.6116901511. The cubic root of 96975456 is about 459.4313325706.

The spelling of 96975456 in words is "ninety-six million, nine hundred seventy-five thousand, four hundred fifty-six".