99392000 has 80 divisors (see below), whose sum is σ = 247999752. Its totient is φ = 39731200.

The previous prime is 99391991. The next prime is 99392009. The reversal of 99392000 is 29399.

It is an interprime number because it is at equal distance from previous prime (99391991) and next prime (99392009).

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 88209664 = 3344^2 + 9392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×99392000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (99392009) 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 7 ways as a sum of consecutive naturals, for example, 63224 + ... + 64776.

Almost surely, 2^99392000 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 99392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123999876).

99392000 is an abundant number, since it is smaller than the sum of its proper divisors (148607752).

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

99392000 is an equidigital number, since it uses as much as digits as its factorization.

99392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 99392000 is about 9969.5536509916. The cubic root of 99392000 is about 463.2162750826.

The spelling of 99392000 in words is "ninety-nine million, three hundred ninety-two thousand".