616917840 has 480 divisors, whose sum is σ = 2564835840. Its totient is φ = 120960000.

The previous prime is 616917839. The next prime is 616917869. The reversal of 616917840 is 48719616.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 616917792 and 616917801.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2457715 + ... + 2457965.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2^616917840 is an apocalyptic number.

616917840 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 616917840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

616917840 is an abundant number, since it is smaller than the sum of its proper divisors (1947918000).

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

616917840 is a wasteful number, since it uses less digits than its factorization.

616917840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 616917840 is about 24837.8308231617. The cubic root of 616917840 is about 851.2865591799.

The spelling of 616917840 in words is "six hundred sixteen million, nine hundred seventeen thousand, eight hundred forty".