96404160 has 112 divisors (see below), whose sum is σ = 308738016. Its totient is φ = 25485312.

The previous prime is 96404153. The next prime is 96404167. The reversal of 96404160 is 6140469.

It is an interprime number because it is at equal distance from previous prime (96404153) and next prime (96404167).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (96404167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131154 + ... + 131886.

Almost surely, 2^96404160 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 96404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154369008).

96404160 is an abundant number, since it is smaller than the sum of its proper divisors (212333856).

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

96404160 is a wasteful number, since it uses less digits than its factorization.

96404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96404160 is about 9818.5620128408. The cubic root of 96404160 is about 458.5273636513.

The spelling of 96404160 in words is "ninety-six million, four hundred four thousand, one hundred sixty".