1260607440 has 80 divisors (see below), whose sum is σ = 4113576000. Its totient is φ = 318468096.

The previous prime is 1260607433. The next prime is 1260607451. The reversal of 1260607440 is 447060621.

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

It is a super-2 number, since 2×1260607440² = 3178262235566707200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1260607398 and 1260607407.

It is a congruent number.

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, 133665 + ... + 142784.

It is an arithmetic number, because the mean of its divisors is an integer number (51419700).

Almost surely, 2^1260607440 is an apocalyptic number.

1260607440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1260607440 is an abundant number, since it is smaller than the sum of its proper divisors (2852968560).

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

1260607440 is a wasteful number, since it uses less digits than its factorization.

1260607440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276484 (or 276478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1260607440 is about 35505.0340092782. The cubic root of 1260607440 is about 1080.2558378816.

The spelling of 1260607440 in words is "one billion, two hundred sixty million, six hundred seven thousand, four hundred forty".