90408040 has 32 divisors (see below), whose sum is σ = 215385480. Its totient is φ = 34035712.

The previous prime is 90408013. The next prime is 90408041. The reversal of 90408040 is 4080409.

It can be written as a sum of positive squares in 4 ways, for example, as 85488516 + 4919524 = 9246^2 + 2218^2 .

It is a super-2 number, since 2×90408040² = 16347227393283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90407996 and 90408014.

It is not an unprimeable number, because it can be changed into a prime (90408041) 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 7 ways as a sum of consecutive naturals, for example, 65797 + ... + 67156.

Almost surely, 2^90408040 is an apocalyptic number.

It is an amenable number.

90408040 is an abundant number, since it is smaller than the sum of its proper divisors (124977440).

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

90408040 is a wasteful number, since it uses less digits than its factorization.

90408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132981 (or 132977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 90408040 is about 9508.3142564810. The cubic root of 90408040 is about 448.8167101576.

Adding to 90408040 its reverse (4080409), we get a palindrome (94488449).

It can be divided in two parts, 90 and 408040, that multiplied together give a square (36723600 = 6060²).

The spelling of 90408040 in words is "ninety million, four hundred eight thousand, forty".