1360465920 has 468 divisors, whose sum is σ = 5268352908. Its totient is φ = 324403200.

The previous prime is 1360465891. The next prime is 1360465943. The reversal of 1360465920 is 295640631.

It is a happy number.

1360465920 is a `hidden beast` number, since 1 + 3 + 60 + 4 + 6 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 1141899264 = 14784^2 + 33792^2 .

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 35 ways as a sum of consecutive naturals, for example, 22302690 + ... + 22302750.

Almost surely, 2^1360465920 is an apocalyptic number.

1360465920 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 1360465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634176454).

1360465920 is an abundant number, since it is smaller than the sum of its proper divisors (3907886988).

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

1360465920 is a wasteful number, since it uses less digits than its factorization.

1360465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1360465920 is about 36884.4943031621. The cubic root of 1360465920 is about 1108.0581583551.

It can be divided in two parts, 13604 and 65920, that added together give a square (79524 = 282²).

The spelling of 1360465920 in words is "one billion, three hundred sixty million, four hundred sixty-five thousand, nine hundred twenty".