1294990560 has 144 divisors (see below), whose sum is σ = 4428811296. Its totient is φ = 344577024.

The previous prime is 1294990553. The next prime is 1294990583. The reversal of 1294990560 is 650994921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1294990560² = 3354001100978227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046262 + ... + 1047498.

It is an arithmetic number, because the mean of its divisors is an integer number (30755634).

Almost surely, 2^1294990560 is an apocalyptic number.

1294990560 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 1294990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214405648).

1294990560 is an abundant number, since it is smaller than the sum of its proper divisors (3133820736).

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

1294990560 is a wasteful number, since it uses less digits than its factorization.

1294990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1294990560 is about 35985.9772689307. The cubic root of 1294990560 is about 1089.9892151670.

The spelling of 1294990560 in words is "one billion, two hundred ninety-four million, nine hundred ninety thousand, five hundred sixty".