1205056560 has 80 divisors (see below), whose sum is σ = 3955434336. Its totient is φ = 302444544.

The previous prime is 1205056493. The next prime is 1205056603. The reversal of 1205056560 is 656505021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1205056560² = 2904322625598067200, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143599 + ... + 151758.

Almost surely, 2^1205056560 is an apocalyptic number.

1205056560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205056560 is an abundant number, since it is smaller than the sum of its proper divisors (2750377776).

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

1205056560 is a wasteful number, since it uses less digits than its factorization.

1205056560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295390 (or 295384 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1205056560 is about 34713.9245836595. The cubic root of 1205056560 is about 1064.1490877828.

The spelling of 1205056560 in words is "one billion, two hundred five million, fifty-six thousand, five hundred sixty".