1207655040 has 128 divisors (see below), whose sum is σ = 3870532800. Its totient is φ = 320274432.

The previous prime is 1207655039. The next prime is 1207655093. The reversal of 1207655040 is 405567021.

1207655040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 1207654989 and 1207655007.

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, 368931 + ... + 372189.

Almost surely, 2^1207655040 is an apocalyptic number.

1207655040 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 1207655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935266400).

1207655040 is an abundant number, since it is smaller than the sum of its proper divisors (2662877760).

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

1207655040 is a wasteful number, since it uses less digits than its factorization.

1207655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1207655040 is about 34751.3314852827. The cubic root of 1207655040 is about 1064.9134184281.

The spelling of 1207655040 in words is "one billion, two hundred seven million, six hundred fifty-five thousand, forty".