96295920 has 240 divisors, whose sum is σ = 360548352. Its totient is φ = 20805120.

The previous prime is 96295919. The next prime is 96295937. The reversal of 96295920 is 2959269.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239419 + ... + 2239461.

Almost surely, 2^96295920 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 96295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180274176).

96295920 is an abundant number, since it is smaller than the sum of its proper divisors (264252432).

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

96295920 is a wasteful number, since it uses less digits than its factorization.

96295920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 96295920 is about 9813.0484560100. The cubic root of 96295920 is about 458.3556919855.

The spelling of 96295920 in words is "ninety-six million, two hundred ninety-five thousand, nine hundred twenty".