90455040 has 264 divisors, whose sum is σ = 339769248. Its totient is φ = 22118400.

The previous prime is 90455033. The next prime is 90455041. The reversal of 90455040 is 4055409.

It is a super-2 number, since 2×90455040² = 16364228522803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90454995 and 90455013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90455041) 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, 598965 + ... + 599115.

Almost surely, 2^90455040 is an apocalyptic number.

90455040 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 90455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169884624).

90455040 is an abundant number, since it is smaller than the sum of its proper divisors (249314208).

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

90455040 is a wasteful number, since it uses less digits than its factorization.

90455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 90455040 is about 9510.7854565225. The cubic root of 90455040 is about 448.8944714239.

The spelling of 90455040 in words is "ninety million, four hundred fifty-five thousand, forty".