1054896960 has 224 divisors, whose sum is σ = 3634630272. Its totient is φ = 257679360.

The previous prime is 1054896959. The next prime is 1054897007. The reversal of 1054896960 is 696984501.

It is a super-2 number, since 2×1054896960² = 2225615192434483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2258647 + ... + 2259113.

It is an arithmetic number, because the mean of its divisors is an integer number (16226028).

Almost surely, 2^1054896960 is an apocalyptic number.

1054896960 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 1054896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817315136).

1054896960 is an abundant number, since it is smaller than the sum of its proper divisors (2579733312).

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

1054896960 is a wasteful number, since it uses less digits than its factorization.

1054896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 1054896960 is about 32479.1773294830. The cubic root of 1054896960 is about 1017.9739868784.

The spelling of 1054896960 in words is "one billion, fifty-four million, eight hundred ninety-six thousand, nine hundred sixty".