616914144 has 360 divisors, whose sum is σ = 2287265904. Its totient is φ = 159667200.

The previous prime is 616914143. The next prime is 616914149. The reversal of 616914144 is 441419616.

It is a super-2 number, since 2×616914144² = 761166122134505472, which contains 22 as substring.

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

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 = 616914099 and 616914108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616914143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2195284 + ... + 2195564.

Almost surely, 2^616914144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143632952).

616914144 is an abundant number, since it is smaller than the sum of its proper divisors (1670351760).

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

616914144 is a wasteful number, since it uses less digits than its factorization.

616914144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 304 counting only the distinct ones).

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

The square root of 616914144 is about 24837.7564204177. The cubic root of 616914144 is about 851.2848591364.

The spelling of 616914144 in words is "six hundred sixteen million, nine hundred fourteen thousand, one hundred forty-four".