954944640 has 480 divisors, whose sum is σ = 3726666900. Its totient is φ = 232906752.

The previous prime is 954944633. The next prime is 954944671. The reversal of 954944640 is 46449459.

954944640 is a `hidden beast` number, since 9 + 549 + 44 + 64 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 162409536 + 792535104 = 12744^2 + 28152^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760906 + ... + 8761014.

Almost surely, 2^954944640 is an apocalyptic number.

954944640 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 954944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863333450).

954944640 is an abundant number, since it is smaller than the sum of its proper divisors (2771722260).

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

954944640 is a wasteful number, since it uses less digits than its factorization.

954944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 954944640 is about 30902.1785639783. The cubic root of 954944640 is about 984.7501715518.

The spelling of 954944640 in words is "nine hundred fifty-four million, nine hundred forty-four thousand, six hundred forty".