90073620 has 360 divisors, whose sum is σ = 357122304. Its totient is φ = 18600192.

The previous prime is 90073619. The next prime is 90073657. The reversal of 90073620 is 2637009.

It is a super-2 number, since 2×90073620² = 16226514039808800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1916437 + ... + 1916483.

Almost surely, 2^90073620 is an apocalyptic number.

90073620 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 90073620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561152).

90073620 is an abundant number, since it is smaller than the sum of its proper divisors (267048684).

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

90073620 is a wasteful number, since it uses less digits than its factorization.

90073620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 90073620 is about 9490.7123020351. The cubic root of 90073620 is about 448.2626343223.

The spelling of 90073620 in words is "ninety million, seventy-three thousand, six hundred twenty".