616412160 has 704 divisors, whose sum is σ = 2751168000. Its totient is φ = 130056192.

The previous prime is 616412149. The next prime is 616412161. The reversal of 616412160 is 61214616.

616412160 is a `hidden beast` number, since 6 + 1 + 641 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616412161) 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, 47416314 + ... + 47416326.

Almost surely, 2^616412160 is an apocalyptic number.

616412160 is a gapful number since it is divisible by the number (60) 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 616412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375584000).

616412160 is an abundant number, since it is smaller than the sum of its proper divisors (2134755840).

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

616412160 is a wasteful number, since it uses less digits than its factorization.

616412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 616412160 is about 24827.6491033686. The cubic root of 616412160 is about 851.0538992089.

Adding to 616412160 its reverse (61214616), we get a palindrome (677626776).

The spelling of 616412160 in words is "six hundred sixteen million, four hundred twelve thousand, one hundred sixty".