90735276 has 48 divisors (see below), whose sum is σ = 221695488. Its totient is φ = 28828800.

The previous prime is 90735247. The next prime is 90735301. The reversal of 90735276 is 67253709.

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, 143481 + ... + 144111.

It is an arithmetic number, because the mean of its divisors is an integer number (4618656).

Almost surely, 2^90735276 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 90735276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110847744).

90735276 is an abundant number, since it is smaller than the sum of its proper divisors (130960212).

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

90735276 is a wasteful number, since it uses less digits than its factorization.

90735276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 90735276 is about 9525.5066007011. The cubic root of 90735276 is about 449.3575622794.

The spelling of 90735276 in words is "ninety million, seven hundred thirty-five thousand, two hundred seventy-six".