40320090 has 144 divisors (see below), whose sum is σ = 118753128. Its totient is φ = 9455616.

The previous prime is 40320079. The next prime is 40320101. The reversal of 40320090 is 9002304.

40320090 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (40320079) and next prime (40320101).

It can be written as a sum of positive squares in 4 ways, for example, as 37197801 + 3122289 = 6099^2 + 1767^2 .

It is a super-3 number, since 3×40320090³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552294 + ... + 552366.

Almost surely, 2^40320090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376564).

40320090 is an abundant number, since it is smaller than the sum of its proper divisors (78433038).

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

40320090 is a wasteful number, since it uses less digits than its factorization.

40320090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40320090 is about 6349.8102333849. The cubic root of 40320090 is about 342.9050104298.

Adding to 40320090 its reverse (9002304), we get a palindrome (49322394).

The spelling of 40320090 in words is "forty million, three hundred twenty thousand, ninety".