96180480 has 432 divisors, whose sum is σ = 391466880. Its totient is φ = 22302720.

The previous prime is 96180479. The next prime is 96180499. The reversal of 96180480 is 8408169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181749 + ... + 4181771.

Almost surely, 2^96180480 is an apocalyptic number.

96180480 is a gapful number since it is divisible by the number (90) 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 96180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195733440).

96180480 is an abundant number, since it is smaller than the sum of its proper divisors (295286400).

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

96180480 is a wasteful number, since it uses less digits than its factorization.

96180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96180480 is about 9807.1647278915. The cubic root of 96180480 is about 458.1724590956.

The spelling of 96180480 in words is "ninety-six million, one hundred eighty thousand, four hundred eighty".