954084960 has 384 divisors, whose sum is σ = 3530096640. Its totient is φ = 240371712.

The previous prime is 954084953. The next prime is 954084973. The reversal of 954084960 is 69480459.

It is a happy number.

954084960 is a `hidden beast` number, since 9 + 540 + 8 + 49 + 60 = 666.

954084960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×954084960² = 1820556221796403200, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7512417 + ... + 7512543.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^954084960 is an apocalyptic number.

954084960 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 954084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

954084960 is an abundant number, since it is smaller than the sum of its proper divisors (2576011680).

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

954084960 is a wasteful number, since it uses less digits than its factorization.

954084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 954084960 is about 30888.2657331227. The cubic root of 954084960 is about 984.4545787819.

The spelling of 954084960 in words is "nine hundred fifty-four million, eighty-four thousand, nine hundred sixty".