90451680 has 192 divisors, whose sum is σ = 319915008. Its totient is φ = 21288960.

The previous prime is 90451651. The next prime is 90451681. The reversal of 90451680 is 8615409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90451681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195129 + ... + 195591.

It is an arithmetic number, because the mean of its divisors is an integer number (1666224).

Almost surely, 2^90451680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159957504).

90451680 is an abundant number, since it is smaller than the sum of its proper divisors (229463328).

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

90451680 is a wasteful number, since it uses less digits than its factorization.

90451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 90451680 is about 9510.6088133200. The cubic root of 90451680 is about 448.8889132148. Note that the first 3 decimals are identical.

The spelling of 90451680 in words is "ninety million, four hundred fifty-one thousand, six hundred eighty".