90295296 has 352 divisors, whose sum is σ = 330140160. Its totient is φ = 21233664.

The previous prime is 90295291. The next prime is 90295301. The reversal of 90295296 is 69259209.

It is an interprime number because it is at equal distance from previous prime (90295291) and next prime (90295301).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90295291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752375 + ... + 4752393.

Almost surely, 2^90295296 is an apocalyptic number.

90295296 is a gapful number since it is divisible by the number (96) 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 90295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165070080).

90295296 is an abundant number, since it is smaller than the sum of its proper divisors (239844864).

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

90295296 is a wasteful number, since it uses less digits than its factorization.

90295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 90295296 is about 9502.3837009458. The cubic root of 90295296 is about 448.6300658428.

The spelling of 90295296 in words is "ninety million, two hundred ninety-five thousand, two hundred ninety-six".