90496512 has 120 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 29368320.

The previous prime is 90496499. The next prime is 90496541. The reversal of 90496512 is 21569409.

It is a super-2 number, since 2×90496512² = 16379237368332288, which contains 22 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 188689 + ... + 189167.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^90496512 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 90496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

90496512 is an abundant number, since it is smaller than the sum of its proper divisors (177611328).

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

90496512 is a wasteful number, since it uses less digits than its factorization.

90496512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90496512 is about 9512.9654682439. The cubic root of 90496512 is about 448.9630642745.

The spelling of 90496512 in words is "ninety million, four hundred ninety-six thousand, five hundred twelve".