90976704 has 224 divisors, whose sum is σ = 305872896. Its totient is φ = 23224320.

The previous prime is 90976679. The next prime is 90976709. The reversal of 90976704 is 40767909.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×90976704³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90976709) 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 31 ways as a sum of consecutive naturals, for example, 716289 + ... + 716415.

It is an arithmetic number, because the mean of its divisors is an integer number (1365504).

Almost surely, 2^90976704 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 90976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152936448).

90976704 is an abundant number, since it is smaller than the sum of its proper divisors (214896192).

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

90976704 is a wasteful number, since it uses less digits than its factorization.

90976704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 90976704 is about 9538.1708938349. The cubic root of 90976704 is about 449.7557588181.

The spelling of 90976704 in words is "ninety million, nine hundred seventy-six thousand, seven hundred four".