90877248 has 224 divisors, whose sum is σ = 333573120. Its totient is φ = 23569920.

The previous prime is 90877211. The next prime is 90877249. The reversal of 90877248 is 84277809.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90877249) 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, 132715 + ... + 133397.

Almost surely, 2^90877248 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 90877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

90877248 is an abundant number, since it is smaller than the sum of its proper divisors (242695872).

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

90877248 is a wasteful number, since it uses less digits than its factorization.

90877248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 90877248 is about 9532.9558899640. The cubic root of 90877248 is about 449.5918076208.

It can be divided in two parts, 90877 and 248, that added together give a cube (91125 = 45³).

The spelling of 90877248 in words is "ninety million, eight hundred seventy-seven thousand, two hundred forty-eight".