1288964560 has 320 divisors, whose sum is σ = 3657265920. Its totient is φ = 418037760.

The previous prime is 1288964533. The next prime is 1288964609. The reversal of 1288964560 is 654698821.

It is a super-2 number, since 2×1288964560² = 3322859273871987200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29975899 + ... + 29975941.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2^1288964560 is an apocalyptic number.

1288964560 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 1288964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828632960).

1288964560 is an abundant number, since it is smaller than the sum of its proper divisors (2368301360).

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

1288964560 is a wasteful number, since it uses less digits than its factorization.

1288964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 1288964560 is about 35902.1525817046. The cubic root of 1288964560 is about 1088.2958979286.

The spelling of 1288964560 in words is "one billion, two hundred eighty-eight million, nine hundred sixty-four thousand, five hundred sixty".