90261248 has 144 divisors (see below), whose sum is σ = 237431040. Its totient is φ = 33177600.

The previous prime is 90261221. The next prime is 90261277. The reversal of 90261248 is 84216209.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374408 + ... + 374648.

Almost surely, 2^90261248 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 90261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118715520).

90261248 is an abundant number, since it is smaller than the sum of its proper divisors (147169792).

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

90261248 is a wasteful number, since it uses less digits than its factorization.

90261248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 90261248 is about 9500.5919815557. The cubic root of 90261248 is about 448.5736698566.

It can be divided in two parts, 90261 and 248, that added together give a palindrome (90509).

The spelling of 90261248 in words is "ninety million, two hundred sixty-one thousand, two hundred forty-eight".