90824976 has 200 divisors, whose sum is σ = 300320064. Its totient is φ = 26231040.

The previous prime is 90824969. The next prime is 90824983. The reversal of 90824976 is 67942809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90824969) and next prime (90824983).

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 39 ways as a sum of consecutive naturals, for example, 327750 + ... + 328026.

Almost surely, 2^90824976 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 90824976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150160032).

90824976 is an abundant number, since it is smaller than the sum of its proper divisors (209495088).

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

90824976 is a wasteful number, since it uses less digits than its factorization.

90824976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 90824976 is about 9530.2138485975. The cubic root of 90824976 is about 449.5055903302.

The spelling of 90824976 in words is "ninety million, eight hundred twenty-four thousand, nine hundred seventy-six".