1612316160 has 480 divisors, whose sum is σ = 6881434560. Its totient is φ = 339738624.

The previous prime is 1612316131. The next prime is 1612316171. The reversal of 1612316160 is 616132161.

1612316160 is a `hidden beast` number, since 1 + 6 + 12 + 31 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096256 + ... + 2097024.

It is an arithmetic number, because the mean of its divisors is an integer number (14336322).

Almost surely, 2^1612316160 is an apocalyptic number.

1612316160 is a gapful number since it is divisible by the number (10) 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 1612316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440717280).

1612316160 is an abundant number, since it is smaller than the sum of its proper divisors (5269118400).

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

1612316160 is a wasteful number, since it uses less digits than its factorization.

1612316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1612316160 is about 40153.6568695804. The cubic root of 1612316160 is about 1172.6004835967.

The spelling of 1612316160 in words is "one billion, six hundred twelve million, three hundred sixteen thousand, one hundred sixty".