954961920 has 416 divisors, whose sum is σ = 3727232640. Its totient is φ = 230031360.

The previous prime is 954961919. The next prime is 954961937. The reversal of 954961920 is 29169459.

954961920 is a `hidden beast` number, since 9 + 5 + 4 + 9 + 619 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082482 + ... + 6082638.

Almost surely, 2^954961920 is an apocalyptic number.

954961920 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 954961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863616320).

954961920 is an abundant number, since it is smaller than the sum of its proper divisors (2772270720).

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

954961920 is a wasteful number, since it uses less digits than its factorization.

954961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 954961920 is about 30902.4581546517. The cubic root of 954961920 is about 984.7561112959.

The spelling of 954961920 in words is "nine hundred fifty-four million, nine hundred sixty-one thousand, nine hundred twenty".