96413920 has 48 divisors (see below), whose sum is σ = 232642368. Its totient is φ = 37742080.

The previous prime is 96413903. The next prime is 96413927. The reversal of 96413920 is 2931469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96413927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110 + ... + 13930.

It is an arithmetic number, because the mean of its divisors is an integer number (4846716).

Almost surely, 2^96413920 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 96413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116321184).

96413920 is an abundant number, since it is smaller than the sum of its proper divisors (136228448).

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

96413920 is a wasteful number, since it uses less digits than its factorization.

96413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 96413920 is about 9819.0590180526. The cubic root of 96413920 is about 458.5428369672.

It can be divided in two parts, 964 and 13920, that added together give a square (14884 = 122²).

The spelling of 96413920 in words is "ninety-six million, four hundred thirteen thousand, nine hundred twenty".