90964944 has 200 divisors, whose sum is σ = 310162688. Its totient is φ = 25194240.

The previous prime is 90964919. The next prime is 90964949. The reversal of 90964944 is 44946909.

It is a self number, because there is not a number n which added to its sum of digits gives 90964944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90964949) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 335529 + ... + 335799.

Almost surely, 2^90964944 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 90964944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155081344).

90964944 is an abundant number, since it is smaller than the sum of its proper divisors (219197744).

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

90964944 is a wasteful number, since it uses less digits than its factorization.

90964944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 90964944 is about 9537.5544035146. The cubic root of 90964944 is about 449.7363789278.

The spelling of 90964944 in words is "ninety million, nine hundred sixty-four thousand, nine hundred forty-four".