1261610720 has 96 divisors (see below), whose sum is σ = 3210762240. Its totient is φ = 467089920.

The previous prime is 1261610711. The next prime is 1261610729. The reversal of 1261610720 is 270161621.

It is an interprime number because it is at equal distance from previous prime (1261610711) and next prime (1261610729).

It is a self number, because there is not a number n which added to its sum of digits gives 1261610720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261610729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108551 + ... + 119609.

It is an arithmetic number, because the mean of its divisors is an integer number (33445440).

Almost surely, 2^1261610720 is an apocalyptic number.

1261610720 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 1261610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605381120).

1261610720 is an abundant number, since it is smaller than the sum of its proper divisors (1949151520).

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

1261610720 is a wasteful number, since it uses less digits than its factorization.

1261610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1261610720 is about 35519.1598999751. The cubic root of 1261610720 is about 1080.5423430612.

The spelling of 1261610720 in words is "one billion, two hundred sixty-one million, six hundred ten thousand, seven hundred twenty".