1613816160 has 384 divisors, whose sum is σ = 5889106944. Its totient is φ = 367656960.

The previous prime is 1613816159. The next prime is 1613816173. The reversal of 1613816160 is 616183161.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11779612 + ... + 11779748.

It is an arithmetic number, because the mean of its divisors is an integer number (15336216).

Almost surely, 2^1613816160 is an apocalyptic number.

1613816160 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 1613816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944553472).

1613816160 is an abundant number, since it is smaller than the sum of its proper divisors (4275290784).

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

1613816160 is a wasteful number, since it uses less digits than its factorization.

1613816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1613816160 is about 40172.3307762943. The cubic root of 1613816160 is about 1172.9640093934.

The spelling of 1613816160 in words is "one billion, six hundred thirteen million, eight hundred sixteen thousand, one hundred sixty".