90661248 has 128 divisors (see below), whose sum is σ = 275196000. Its totient is φ = 29362176.

The previous prime is 90661247. The next prime is 90661313. The reversal of 90661248 is 84216609.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90661247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127518 + ... + 128226.

Almost surely, 2^90661248 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 90661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137598000).

90661248 is an abundant number, since it is smaller than the sum of its proper divisors (184534752).

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

90661248 is a wasteful number, since it uses less digits than its factorization.

90661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90661248 is about 9521.6200302259. The cubic root of 90661248 is about 449.2353235581.

It can be divided in two parts, 90661 and 248, that added together give a palindrome (90909).

The spelling of 90661248 in words is "ninety million, six hundred sixty-one thousand, two hundred forty-eight".