616999680 has 360 divisors, whose sum is σ = 2412892944. Its totient is φ = 149299200.

The previous prime is 616999657. The next prime is 616999681. The reversal of 616999680 is 86999616.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (616999681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140210 + ... + 1140750.

Almost surely, 2^616999680 is an apocalyptic number.

616999680 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 616999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206446472).

616999680 is an abundant number, since it is smaller than the sum of its proper divisors (1795893264).

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

616999680 is a wasteful number, since it uses less digits than its factorization.

616999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 616999680 is about 24839.4782553901. The cubic root of 616999680 is about 851.3242012596.

The spelling of 616999680 in words is "six hundred sixteen million, nine hundred ninety-nine thousand, six hundred eighty".