90845952 has 144 divisors (see below), whose sum is σ = 260977920. Its totient is φ = 27979776.

The previous prime is 90845947. The next prime is 90845957. The reversal of 90845952 is 25954809.

It is an interprime number because it is at equal distance from previous prime (90845947) and next prime (90845957).

It is a super-4 number, since 4×90845952⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (90845957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653499 + ... + 653637.

Almost surely, 2^90845952 is an apocalyptic number.

90845952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

90845952 is an abundant number, since it is smaller than the sum of its proper divisors (170131968).

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

90845952 is a wasteful number, since it uses less digits than its factorization.

90845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 90845952 is about 9531.3142850291. The cubic root of 90845952 is about 449.5401920588.

The spelling of 90845952 in words is "ninety million, eight hundred forty-five thousand, nine hundred fifty-two".