1245076560 has 480 divisors, whose sum is σ = 5320992768. Its totient is φ = 253808640.

The previous prime is 1245076559. The next prime is 1245076597. The reversal of 1245076560 is 656705421.

It is a happy number.

1245076560 is a `hidden beast` number, since 1 + 24 + 5 + 0 + 76 + 560 = 666.

It is a super-2 number, since 2×1245076560² = 3100431280522867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2030814 + ... + 2031426.

Almost surely, 2^1245076560 is an apocalyptic number.

1245076560 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 1245076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660496384).

1245076560 is an abundant number, since it is smaller than the sum of its proper divisors (4075916208).

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

1245076560 is a wasteful number, since it uses less digits than its factorization.

1245076560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1245076560 is about 35285.6424059418. The cubic root of 1245076560 is about 1075.8011867626.

The spelling of 1245076560 in words is "one billion, two hundred forty-five million, seventy-six thousand, five hundred sixty".