90120321 has 24 divisors (see below), whose sum is σ = 132577536. Its totient is φ = 58980960.

The previous prime is 90120319. The next prime is 90120323. The reversal of 90120321 is 12302109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90120319) and next prime (90120323).

It is not a de Polignac number, because 90120321 - 2¹ = 90120319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90120294 and 90120303.

It is not an unprimeable number, because it can be changed into a prime (90120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166311 + ... + 166851.

It is an arithmetic number, because the mean of its divisors is an integer number (5524064).

Almost surely, 2^90120321 is an apocalyptic number.

It is an amenable number.

90120321 is a deficient number, since it is larger than the sum of its proper divisors (42457215).

90120321 is a wasteful number, since it uses less digits than its factorization.

90120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90120321 is about 9493.1723359476. The cubic root of 90120321 is about 448.3400920595.

The spelling of 90120321 in words is "ninety million, one hundred twenty thousand, three hundred twenty-one".