1054661160 has 64 divisors (see below), whose sum is σ = 3615984000. Its totient is φ = 241065216.

The previous prime is 1054661143. The next prime is 1054661189. The reversal of 1054661160 is 611664501.

It is a super-2 number, since 2×1054661160² = 2224620324825091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626935 + ... + 628614.

It is an arithmetic number, because the mean of its divisors is an integer number (56499750).

Almost surely, 2^1054661160 is an apocalyptic number.

1054661160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054661160 is an abundant number, since it is smaller than the sum of its proper divisors (2561322840).

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

1054661160 is a wasteful number, since it uses less digits than its factorization.

1054661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255570 (or 1255566 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1054661160 is about 32475.5471085554. The cubic root of 1054661160 is about 1017.8981323440.

The spelling of 1054661160 in words is "one billion, fifty-four million, six hundred sixty-one thousand, one hundred sixty".