616461840 has 240 divisors, whose sum is σ = 2261313600. Its totient is φ = 155644416.

The previous prime is 616461829. The next prime is 616461851. The reversal of 616461840 is 48164616.

616461840 is a `hidden beast` number, since 6 + 1 + 646 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (616461829) and next prime (616461851).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 616461795 and 616461804.

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, 368526 + ... + 370194.

It is an arithmetic number, because the mean of its divisors is an integer number (9422140).

Almost surely, 2^616461840 is an apocalyptic number.

616461840 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 616461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130656800).

616461840 is an abundant number, since it is smaller than the sum of its proper divisors (1644851760).

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

616461840 is a wasteful number, since it uses less digits than its factorization.

616461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 616461840 is about 24828.6495806759. The cubic root of 616461840 is about 851.0767622783.

The spelling of 616461840 in words is "six hundred sixteen million, four hundred sixty-one thousand, eight hundred forty".