96561920 has 144 divisors (see below), whose sum is σ = 285015360. Its totient is φ = 30523392.

The previous prime is 96561911. The next prime is 96561947. The reversal of 96561920 is 2916569.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116066 + ... + 116894.

Almost surely, 2^96561920 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 96561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142507680).

96561920 is an abundant number, since it is smaller than the sum of its proper divisors (188453440).

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

96561920 is a wasteful number, since it uses less digits than its factorization.

96561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 96561920 is about 9826.5924918051. The cubic root of 96561920 is about 458.7773454436. Note that the first 3 decimals are identical.

The spelling of 96561920 in words is "ninety-six million, five hundred sixty-one thousand, nine hundred twenty".