90821952 has 168 divisors, whose sum is σ = 290047680. Its totient is φ = 27855360.

The previous prime is 90821947. The next prime is 90821953. The reversal of 90821952 is 25912809.

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 (90821953) 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, 291877 + ... + 292187.

Almost surely, 2^90821952 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 90821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145023840).

90821952 is an abundant number, since it is smaller than the sum of its proper divisors (199225728).

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

90821952 is a wasteful number, since it uses less digits than its factorization.

90821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90821952 is about 9530.0551939640. The cubic root of 90821952 is about 449.5006015410.

The spelling of 90821952 in words is "ninety million, eight hundred twenty-one thousand, nine hundred fifty-two".