90173952 has 160 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 27279360.

The previous prime is 90173927. The next prime is 90173953. The reversal of 90173952 is 25937109.

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

It is not an unprimeable number, because it can be changed into a prime (90173953) 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 15 ways as a sum of consecutive naturals, for example, 151768 + ... + 152360.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 2^90173952 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 90173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

90173952 is an abundant number, since it is smaller than the sum of its proper divisors (201503808).

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

90173952 is a wasteful number, since it uses less digits than its factorization.

90173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90173952 is about 9495.9966301595. The cubic root of 90173952 is about 448.4290108111.

It can be divided in two parts, 90173 and 952, that added together give a cube (91125 = 45³).

The spelling of 90173952 in words is "ninety million, one hundred seventy-three thousand, nine hundred fifty-two".