90512352 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 22892544.

The previous prime is 90512351. The next prime is 90512353. The reversal of 90512352 is 25321509.

It is an interprime number because it is at equal distance from previous prime (90512351) and next prime (90512353).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90512351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651099 + ... + 651237.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^90512352 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 90512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

90512352 is an abundant number, since it is smaller than the sum of its proper divisors (239708448).

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

90512352 is a wasteful number, since it uses less digits than its factorization.

90512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90512352 is about 9513.7979797765. The cubic root of 90512352 is about 448.9892574021.

The spelling of 90512352 in words is "ninety million, five hundred twelve thousand, three hundred fifty-two".