90437040 has 160 divisors (see below), whose sum is σ = 314712000. Its totient is φ = 23869440.

The previous prime is 90437033. The next prime is 90437047. The reversal of 90437040 is 4073409.

It is an interprime number because it is at equal distance from previous prime (90437033) and next prime (90437047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90436995 and 90437013.

It is not an unprimeable number, because it can be changed into a prime (90437047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321700 + ... + 321980.

It is an arithmetic number, because the mean of its divisors is an integer number (1966950).

Almost surely, 2^90437040 is an apocalyptic number.

90437040 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 90437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157356000).

90437040 is an abundant number, since it is smaller than the sum of its proper divisors (224274960).

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

90437040 is a wasteful number, since it uses less digits than its factorization.

90437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 90437040 is about 9509.8391153584. The cubic root of 90437040 is about 448.8646936968.

The spelling of 90437040 in words is "ninety million, four hundred thirty-seven thousand, forty".