1261741320 has 512 divisors, whose sum is σ = 5076172800. Its totient is φ = 272802816.

The previous prime is 1261741319. The next prime is 1261741331. The reversal of 1261741320 is 231471621.

1261741320 is a `hidden beast` number, since 1 + 2 + 617 + 41 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18831927 + ... + 18831993.

It is an arithmetic number, because the mean of its divisors is an integer number (9914400).

Almost surely, 2^1261741320 is an apocalyptic number.

1261741320 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 1261741320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538086400).

1261741320 is an abundant number, since it is smaller than the sum of its proper divisors (3814431480).

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

1261741320 is a wasteful number, since it uses less digits than its factorization.

1261741320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1261741320 is about 35520.9982967821. The cubic root of 1261741320 is about 1080.5796271348.

The spelling of 1261741320 in words is "one billion, two hundred sixty-one million, seven hundred forty-one thousand, three hundred twenty".