90057040 has 20 divisors (see below), whose sum is σ = 209382804. Its totient is φ = 36022784.

The previous prime is 90057013. The next prime is 90057047. The reversal of 90057040 is 4075009.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 24641296 = 8088^2 + 4964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×90057040² = 16220540907123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90056996 and 90057014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90057047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562777 + ... + 562936.

Almost surely, 2^90057040 is an apocalyptic number.

It is an amenable number.

90057040 is an abundant number, since it is smaller than the sum of its proper divisors (119325764).

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

90057040 is a wasteful number, since it uses less digits than its factorization.

90057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125726 (or 1125720 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 90057040 is about 9489.8387762912. The cubic root of 90057040 is about 448.2351284868.

The spelling of 90057040 in words is "ninety million, fifty-seven thousand, forty".