90126240 has 48 divisors (see below), whose sum is σ = 283899168. Its totient is φ = 24033536.

The previous prime is 90126233. The next prime is 90126247. The reversal of 90126240 is 4262109.

It is an interprime number because it is at equal distance from previous prime (90126233) and next prime (90126247).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90126240.

It is not an unprimeable number, because it can be changed into a prime (90126247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93402 + ... + 94361.

It is an arithmetic number, because the mean of its divisors is an integer number (5914566).

Almost surely, 2^90126240 is an apocalyptic number.

It is an amenable number.

90126240 is an abundant number, since it is smaller than the sum of its proper divisors (193772928).

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

90126240 is a wasteful number, since it uses less digits than its factorization.

90126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187781 (or 187773 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90126240 is about 9493.4840812001. The cubic root of 90126240 is about 448.3499073334.

Adding to 90126240 its reverse (4262109), we get a palindrome (94388349).

The spelling of 90126240 in words is "ninety million, one hundred twenty-six thousand, two hundred forty".