99540480 has 160 divisors (see below), whose sum is σ = 343040544. Its totient is φ = 24477696.

The previous prime is 99540461. The next prime is 99540523. The reversal of 99540480 is 8404599.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99342 + ... + 100338.

Almost surely, 2^99540480 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 99540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171520272).

99540480 is an abundant number, since it is smaller than the sum of its proper divisors (243500064).

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

99540480 is a wasteful number, since it uses less digits than its factorization.

99540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 99540480 is about 9976.9975443517. The cubic root of 99540480 is about 463.4468239262.

The spelling of 99540480 in words is "ninety-nine million, five hundred forty thousand, four hundred eighty".