90746016 has 48 divisors (see below), whose sum is σ = 238702464. Its totient is φ = 30185984.

The previous prime is 90745999. The next prime is 90746027. The reversal of 90746016 is 61064709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 81721 + ... + 82823.

It is an arithmetic number, because the mean of its divisors is an integer number (4972968).

Almost surely, 2^90746016 is an apocalyptic number.

90746016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90746016 is an abundant number, since it is smaller than the sum of its proper divisors (147956448).

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

90746016 is a wasteful number, since it uses less digits than its factorization.

90746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90746016 is about 9526.0703335636. The cubic root of 90746016 is about 449.3752911791.

The spelling of 90746016 in words is "ninety million, seven hundred forty-six thousand, sixteen".