90248256 has 168 divisors, whose sum is σ = 306953920. Its totient is φ = 25754112.

The previous prime is 90248209. The next prime is 90248267. The reversal of 90248256 is 65284209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×90248256² = 16289495422083072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90248256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108450 + ... + 109278.

Almost surely, 2^90248256 is an apocalyptic number.

90248256 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 90248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153476960).

90248256 is an abundant number, since it is smaller than the sum of its proper divisors (216705664).

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

90248256 is an equidigital number, since it uses as much as digits as its factorization.

90248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90248256 is about 9499.9082100829. The cubic root of 90248256 is about 448.5521465972.

The spelling of 90248256 in words is "ninety million, two hundred forty-eight thousand, two hundred fifty-six".