90080256 has 176 divisors, whose sum is σ = 282977280. Its totient is φ = 24944640.

The previous prime is 90080251. The next prime is 90080269. The reversal of 90080256 is 65208009.

It is a super-2 number, since 2×90080256² = 16228905042051072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90080251) 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, 1268701 + ... + 1268771.

Almost surely, 2^90080256 is an apocalyptic number.

90080256 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 90080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

90080256 is an abundant number, since it is smaller than the sum of its proper divisors (192897024).

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

90080256 is a wasteful number, since it uses less digits than its factorization.

90080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 90080256 is about 9491.0619005462. The cubic root of 90080256 is about 448.2736423466.

The spelling of 90080256 in words is "ninety million, eighty thousand, two hundred fifty-six".