990957240 has 320 divisors, whose sum is σ = 4100564160. Its totient is φ = 209018880.

The previous prime is 990957211. The next prime is 990957241. The reversal of 990957240 is 42759099.

990957240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990957241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293160 + ... + 296520.

It is an arithmetic number, because the mean of its divisors is an integer number (12814263).

Almost surely, 2^990957240 is an apocalyptic number.

990957240 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 990957240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050282080).

990957240 is an abundant number, since it is smaller than the sum of its proper divisors (3109606920).

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

990957240 is a wasteful number, since it uses less digits than its factorization.

990957240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 990957240 is about 31479.4733119854. The cubic root of 990957240 is about 996.9766150221.

The spelling of 990957240 in words is "nine hundred ninety million, nine hundred fifty-seven thousand, two hundred forty".