99029520 has 240 divisors, whose sum is σ = 362833920. Its totient is φ = 24820992.

The previous prime is 99029479. The next prime is 99029521. The reversal of 99029520 is 2592099.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (99029521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779697 + ... + 779823.

It is an arithmetic number, because the mean of its divisors is an integer number (1511808).

Almost surely, 2^99029520 is an apocalyptic number.

99029520 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 99029520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

99029520 is an abundant number, since it is smaller than the sum of its proper divisors (263804400).

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

99029520 is a wasteful number, since it uses less digits than its factorization.

99029520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99029520 is about 9951.3576963146. The cubic root of 99029520 is about 462.6524766314.

The spelling of 99029520 in words is "ninety-nine million, twenty-nine thousand, five hundred twenty".