90816768 has 144 divisors (see below), whose sum is σ = 307090560. Its totient is φ = 25933824.

The previous prime is 90816767. The next prime is 90816797. The reversal of 90816768 is 86761809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (90816767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47446 + ... + 49322.

Almost surely, 2^90816768 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 90816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153545280).

90816768 is an abundant number, since it is smaller than the sum of its proper divisors (216273792).

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

90816768 is a wasteful number, since it uses less digits than its factorization.

90816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90816768 is about 9529.7832084471. The cubic root of 90816768 is about 449.4920490732.

The spelling of 90816768 in words is "ninety million, eight hundred sixteen thousand, seven hundred sixty-eight".