90839952 has 120 divisors (see below), whose sum is σ = 292558656. Its totient is φ = 25774848.

The previous prime is 90839941. The next prime is 90839953. The reversal of 90839952 is 25993809.

It is a junction number, because it is equal to n+sod(n) for n = 90839898 and 90839907.

It is not an unprimeable number, because it can be changed into a prime (90839953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228618 + ... + 229014.

Almost surely, 2^90839952 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 90839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146279328).

90839952 is an abundant number, since it is smaller than the sum of its proper divisors (201718704).

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

90839952 is a wasteful number, since it uses less digits than its factorization.

90839952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 90839952 is about 9530.9995278565. Note that the first 3 decimals coincide. The cubic root of 90839952 is about 449.5302950831.

The spelling of 90839952 in words is "ninety million, eight hundred thirty-nine thousand, nine hundred fifty-two".