1361759616 has 96 divisors (see below), whose sum is σ = 4478432400. Its totient is φ = 389071872.

The previous prime is 1361759611. The next prime is 1361759617. The reversal of 1361759616 is 6169571631.

1361759616 is a `hidden beast` number, since 1 + 36 + 17 + 596 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361759611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76371 + ... + 92498.

Almost surely, 2^1361759616 is an apocalyptic number.

1361759616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1361759616 is an abundant number, since it is smaller than the sum of its proper divisors (3116672784).

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

1361759616 is a wasteful number, since it uses less digits than its factorization.

1361759616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168896 (or 168881 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1361759616 is about 36902.0272613850. The cubic root of 1361759616 is about 1108.4092724471.

The spelling of 1361759616 in words is "one billion, three hundred sixty-one million, seven hundred fifty-nine thousand, six hundred sixteen".