956642940 has 168 divisors, whose sum is σ = 3273844560. Its totient is φ = 231913440.

The previous prime is 956642903. The next prime is 956642941. The reversal of 956642940 is 49246659.

956642940 is a `hidden beast` number, since 9 + 566 + 42 + 9 + 40 = 666.

956642940 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 (956642941) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 86967535 + ... + 86967545.

It is an arithmetic number, because the mean of its divisors is an integer number (19487170).

Almost surely, 2^956642940 is an apocalyptic number.

956642940 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 956642940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636922280).

956642940 is an abundant number, since it is smaller than the sum of its proper divisors (2317201620).

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

956642940 is an frugal number, since it uses more digits than its factorization.

956642940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 956642940 is about 30929.6450028124. The cubic root of 956642940 is about 985.3335948240. Note that the first 3 decimals are identical.

The spelling of 956642940 in words is "nine hundred fifty-six million, six hundred forty-two thousand, nine hundred forty".