1360106496 has 264 divisors, whose sum is σ = 4649473920. Its totient is φ = 374685696.

The previous prime is 1360106479. The next prime is 1360106509. The reversal of 1360106496 is 6946010631.

1360106496 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 0 + 649 + 6 = 666.

It is a super-2 number, since 2×1360106496² = 3699779360922796032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1360106496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870485 + ... + 1871211.

Almost surely, 2^1360106496 is an apocalyptic number.

1360106496 is a gapful number since it is divisible by the number (16) 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 1360106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324736960).

1360106496 is an abundant number, since it is smaller than the sum of its proper divisors (3289367424).

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

1360106496 is a wasteful number, since it uses less digits than its factorization.

1360106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1360106496 is about 36879.6216900336. The cubic root of 1360106496 is about 1107.9605697846.

The spelling of 1360106496 in words is "one billion, three hundred sixty million, one hundred six thousand, four hundred ninety-six".