1352687616 has 168 divisors, whose sum is σ = 4467447504. Its totient is φ = 386334720.

The previous prime is 1352687599. The next prime is 1352687617. The reversal of 1352687616 is 6167862531.

1352687616 is a `hidden beast` number, since 1 + 3 + 5 + 26 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352687617) 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, 514786 + ... + 517406.

Almost surely, 2^1352687616 is an apocalyptic number.

1352687616 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 1352687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233723752).

1352687616 is an abundant number, since it is smaller than the sum of its proper divisors (3114759888).

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

1352687616 is an equidigital number, since it uses as much as digits as its factorization.

1352687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2633 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1352687616 is about 36778.9017780575. The cubic root of 1352687616 is about 1105.9423902360.

It can be divided in two parts, 135268 and 7616, that added together give a square (142884 = 378²).

The spelling of 1352687616 in words is "one billion, three hundred fifty-two million, six hundred eighty-seven thousand, six hundred sixteen".