90838620 has 72 divisors (see below), whose sum is σ = 290057040. Its totient is φ = 22947840.

The previous prime is 90838609. The next prime is 90838621. The reversal of 90838620 is 2683809.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90838621) 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 23 ways as a sum of consecutive naturals, for example, 9861 + ... + 16700.

It is an arithmetic number, because the mean of its divisors is an integer number (4028570).

Almost surely, 2^90838620 is an apocalyptic number.

90838620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90838620 is an abundant number, since it is smaller than the sum of its proper divisors (199218420).

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

90838620 is a wasteful number, since it uses less digits than its factorization.

90838620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26595 (or 26590 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90838620 is about 9530.9296503542. The cubic root of 90838620 is about 449.5280978954.

The spelling of 90838620 in words is "ninety million, eight hundred thirty-eight thousand, six hundred twenty".