616697928 has 192 divisors, whose sum is σ = 2174299200. Its totient is φ = 160151040.

The previous prime is 616697927. The next prime is 616697987. The reversal of 616697928 is 829796616.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (616697927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113776 + ... + 119072.

It is an arithmetic number, because the mean of its divisors is an integer number (11324475).

Almost surely, 2^616697928 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 616697928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087149600).

616697928 is an abundant number, since it is smaller than the sum of its proper divisors (1557601272).

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

616697928 is a wasteful number, since it uses less digits than its factorization.

616697928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5320 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 616697928 is about 24833.4034719367. The cubic root of 616697928 is about 851.1853947748.

The spelling of 616697928 in words is "six hundred sixteen million, six hundred ninety-seven thousand, nine hundred twenty-eight".