90967536 has 140 divisors (see below), whose sum is σ = 288683160. Its totient is φ = 27527040.

The previous prime is 90967511. The next prime is 90967549. The reversal of 90967536 is 63576909.

It is a super-2 number, since 2×90967536² = 16550185211822592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90967491 and 90967500.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 127950 + ... + 128658.

Almost surely, 2^90967536 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 90967536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144341580).

90967536 is an abundant number, since it is smaller than the sum of its proper divisors (197715624).

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

90967536 is a wasteful number, since it uses less digits than its factorization.

90967536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 90967536 is about 9537.6902864373. The cubic root of 90967536 is about 449.7406505573.

The spelling of 90967536 in words is "ninety million, nine hundred sixty-seven thousand, five hundred thirty-six".