90155968 has 56 divisors (see below), whose sum is σ = 208373472. Its totient is φ = 37899264.

The previous prime is 90155963. The next prime is 90155977. The reversal of 90155968 is 86955109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90155963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21846 + ... + 25642.

Almost surely, 2^90155968 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 90155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186736).

90155968 is an abundant number, since it is smaller than the sum of its proper divisors (118217504).

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

90155968 is a wasteful number, since it uses less digits than its factorization.

90155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The square root of 90155968 is about 9495.0496575847. The cubic root of 90155968 is about 448.3991977541.

The spelling of 90155968 in words is "ninety million, one hundred fifty-five thousand, nine hundred sixty-eight".