90577872 has 240 divisors, whose sum is σ = 330782400. Its totient is φ = 23466240.

The previous prime is 90577871. The next prime is 90577913. The reversal of 90577872 is 27877509.

90577872 is a `hidden beast` number, since 9 + 0 + 577 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90577871) 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, 232654 + ... + 233042.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 2^90577872 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 90577872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165391200).

90577872 is an abundant number, since it is smaller than the sum of its proper divisors (240204528).

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

90577872 is a wasteful number, since it uses less digits than its factorization.

90577872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 90577872 is about 9517.2407766117. The cubic root of 90577872 is about 449.0975692514.

The spelling of 90577872 in words is "ninety million, five hundred seventy-seven thousand, eight hundred seventy-two".