90451980 has 72 divisors (see below), whose sum is σ = 276861312. Its totient is φ = 23901696.

The previous prime is 90451969. The next prime is 90451987. The reversal of 90451980 is 8915409.

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 (90451987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18117 + ... + 22563.

It is an arithmetic number, because the mean of its divisors is an integer number (3845296).

Almost surely, 2^90451980 is an apocalyptic number.

90451980 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 90451980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138430656).

90451980 is an abundant number, since it is smaller than the sum of its proper divisors (186409332).

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

90451980 is a wasteful number, since it uses less digits than its factorization.

90451980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90451980 is about 9510.6245851679. The cubic root of 90451980 is about 448.8894094890.

It can be divided in two parts, 9045 and 1980, that added together give a square (11025 = 105²).

The spelling of 90451980 in words is "ninety million, four hundred fifty-one thousand, nine hundred eighty".