90747552 has 96 divisors (see below), whose sum is σ = 275692032. Its totient is φ = 25599744.

The previous prime is 90747539. The next prime is 90747577. The reversal of 90747552 is 25574709.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90747552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54963 + ... + 56589.

It is an arithmetic number, because the mean of its divisors is an integer number (2871792).

Almost surely, 2^90747552 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 90747552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137846016).

90747552 is an abundant number, since it is smaller than the sum of its proper divisors (184944480).

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

90747552 is a wasteful number, since it uses less digits than its factorization.

90747552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 90747552 is about 9526.1509540842. The cubic root of 90747552 is about 449.3778265945.

The spelling of 90747552 in words is "ninety million, seven hundred forty-seven thousand, five hundred fifty-two".