90919620 has 144 divisors (see below), whose sum is σ = 307577088. Its totient is φ = 21550080.

The previous prime is 90919613. The next prime is 90919627. The reversal of 90919620 is 2691909.

It is an interprime number because it is at equal distance from previous prime (90919613) and next prime (90919627).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90919627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92572 + ... + 93548.

It is an arithmetic number, because the mean of its divisors is an integer number (2135952).

Almost surely, 2^90919620 is an apocalyptic number.

90919620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90919620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153788544).

90919620 is an abundant number, since it is smaller than the sum of its proper divisors (216657468).

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

90919620 is a wasteful number, since it uses less digits than its factorization.

90919620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 90919620 is about 9535.1780266548. The cubic root of 90919620 is about 449.6616716206.

The spelling of 90919620 in words is "ninety million, nine hundred nineteen thousand, six hundred twenty".