1054376960 has 352 divisors, whose sum is σ = 3257382912. Its totient is φ = 318504960.

The previous prime is 1054376957. The next prime is 1054376977. The reversal of 1054376960 is 696734501.

It is a super-2 number, since 2×1054376960² = 2223421547557683200, which contains 22 as substring.

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, 14443484 + ... + 14443556.

Almost surely, 2^1054376960 is an apocalyptic number.

1054376960 is a gapful number since it is divisible by the number (10) 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 1054376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628691456).

1054376960 is an abundant number, since it is smaller than the sum of its proper divisors (2203005952).

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

1054376960 is a wasteful number, since it uses less digits than its factorization.

1054376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 1054376960 is about 32471.1712138629. The cubic root of 1054376960 is about 1017.8066929797.

The spelling of 1054376960 in words is "one billion, fifty-four million, three hundred seventy-six thousand, nine hundred sixty".