90876000 has 96 divisors (see below), whose sum is σ = 297749088. Its totient is φ = 24230400.

The previous prime is 90875987. The next prime is 90876007. The reversal of 90876000 is 67809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90876007) 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 15 ways as a sum of consecutive naturals, for example, 8214 + ... + 15786.

It is an arithmetic number, because the mean of its divisors is an integer number (3101553).

Almost surely, 2^90876000 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 90876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148874544).

90876000 is an abundant number, since it is smaller than the sum of its proper divisors (206873088).

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

90876000 is a wasteful number, since it uses less digits than its factorization.

90876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90876000 is about 9532.8904326023. The cubic root of 90876000 is about 449.5897495584.

The spelling of 90876000 in words is "ninety million, eight hundred seventy-six thousand".