957666240 has 140 divisors (see below), whose sum is σ = 3406679496. Its totient is φ = 255370752.

The previous prime is 957666221. The next prime is 957666257. The reversal of 957666240 is 42666759.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7447 + ... + 44393.

Almost surely, 2^957666240 is an apocalyptic number.

957666240 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 957666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703339748).

957666240 is an abundant number, since it is smaller than the sum of its proper divisors (2449013256).

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

957666240 is a wasteful number, since it uses less digits than its factorization.

957666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36976 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 957666240 is about 30946.1829633317. The cubic root of 957666240 is about 985.6847995501.

The spelling of 957666240 in words is "nine hundred fifty-seven million, six hundred sixty-six thousand, two hundred forty".