1054354560 has 256 divisors, whose sum is σ = 3921696000. Its totient is φ = 240844800.

The previous prime is 1054354519. The next prime is 1054354583. The reversal of 1054354560 is 654534501.

It is a super-2 number, since 2×1054354560² = 2223327076385587200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 657760 + ... + 659360.

It is an arithmetic number, because the mean of its divisors is an integer number (15319125).

Almost surely, 2^1054354560 is an apocalyptic number.

1054354560 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 1054354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960848000).

1054354560 is an abundant number, since it is smaller than the sum of its proper divisors (2867341440).

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

1054354560 is an equidigital number, since it uses as much as digits as its factorization.

1054354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 1054354560 is about 32470.8262906875. The cubic root of 1054354560 is about 1017.7994852377.

The spelling of 1054354560 in words is "one billion, fifty-four million, three hundred fifty-four thousand, five hundred sixty".