96009480 has 192 divisors, whose sum is σ = 368409600. Its totient is φ = 21219840.

The previous prime is 96009467. The next prime is 96009481. The reversal of 96009480 is 8490069.

96009480 is a `hidden beast` number, since 9 + 600 + 9 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96009481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77506 + ... + 78734.

It is an arithmetic number, because the mean of its divisors is an integer number (1918800).

Almost surely, 2^96009480 is an apocalyptic number.

96009480 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 96009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204800).

96009480 is an abundant number, since it is smaller than the sum of its proper divisors (272400120).

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

96009480 is a wasteful number, since it uses less digits than its factorization.

96009480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 96009480 is about 9798.4427334143. The cubic root of 96009480 is about 457.9007685961.

The spelling of 96009480 in words is "ninety-six million, nine thousand, four hundred eighty".