612668160 has 216 divisors, whose sum is σ = 2283385104. Its totient is φ = 150773760.

The previous prime is 612668153. The next prime is 612668179. The reversal of 612668160 is 61866216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147715 + ... + 151805.

Almost surely, 2^612668160 is an apocalyptic number.

612668160 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 612668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141692552).

612668160 is an abundant number, since it is smaller than the sum of its proper divisors (1670716944).

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

612668160 is a wasteful number, since it uses less digits than its factorization.

612668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 612668160 is about 24752.1344534163. The cubic root of 612668160 is about 849.3273386378.

The spelling of 612668160 in words is "six hundred twelve million, six hundred sixty-eight thousand, one hundred sixty".