1361079720 has 512 divisors, whose sum is σ = 6096384000. Its totient is φ = 260858880.

The previous prime is 1361079691. The next prime is 1361079751. The reversal of 1361079720 is 279701631.

It is a happy number.

1361079720 is a `hidden beast` number, since 13 + 610 + 7 + 9 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1080451 + ... + 1081709.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^1361079720 is an apocalyptic number.

1361079720 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 1361079720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192000).

1361079720 is an abundant number, since it is smaller than the sum of its proper divisors (4735304280).

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

1361079720 is a wasteful number, since it uses less digits than its factorization.

1361079720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1361079720 is about 36892.8139344236. The cubic root of 1361079720 is about 1108.2247737843.

The spelling of 1361079720 in words is "one billion, three hundred sixty-one million, seventy-nine thousand, seven hundred twenty".