616713636 has 192 divisors, whose sum is σ = 1871364096. Its totient is φ = 153446400.

The previous prime is 616713593. The next prime is 616713637. The reversal of 616713636 is 636317616.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 616713594 and 616713603.

It is not an unprimeable number, because it can be changed into a prime (616713637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2765421 + ... + 2765643.

It is an arithmetic number, because the mean of its divisors is an integer number (9746688).

Almost surely, 2^616713636 is an apocalyptic number.

616713636 is a gapful number since it is divisible by the number (66) 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 616713636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935682048).

616713636 is an abundant number, since it is smaller than the sum of its proper divisors (1254650460).

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

616713636 is a wasteful number, since it uses less digits than its factorization.

616713636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 616713636 is about 24833.7197374860. The cubic root of 616713636 is about 851.1926216012.

The spelling of 616713636 in words is "six hundred sixteen million, seven hundred thirteen thousand, six hundred thirty-six".