99093792 has 96 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 28111104.

The previous prime is 99093781. The next prime is 99093793. The reversal of 99093792 is 29739099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×99093792² = 19639159225878528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (99093793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111783 + ... + 112665.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2^99093792 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 99093792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

99093792 is an abundant number, since it is smaller than the sum of its proper divisors (200306400).

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

99093792 is a wasteful number, since it uses less digits than its factorization.

99093792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 99093792 is about 9954.5864806128. The cubic root of 99093792 is about 462.7525450060.

It can be divided in two parts, 99093 and 792, that multiplied together give a triangular number (78481656 = T₁₂₅₂₈).

The spelling of 99093792 in words is "ninety-nine million, ninety-three thousand, seven hundred ninety-two".