99480960 has 320 divisors, whose sum is σ = 377665200. Its totient is φ = 24883200.

The previous prime is 99480959. The next prime is 99480961. The reversal of 99480960 is 6908499.

It is an interprime number because it is at equal distance from previous prime (99480959) and next prime (99480961).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×99480960² = 19792922805043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99480961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984910 + ... + 985010.

Almost surely, 2^99480960 is an apocalyptic number.

99480960 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 99480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188832600).

99480960 is an abundant number, since it is smaller than the sum of its proper divisors (278184240).

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

99480960 is a wasteful number, since it uses less digits than its factorization.

99480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99480960 is about 9974.0142370061. The cubic root of 99480960 is about 463.3544331896.

The spelling of 99480960 in words is "ninety-nine million, four hundred eighty thousand, nine hundred sixty".