616506000 has 160 divisors (see below), whose sum is σ = 2168539776. Its totient is φ = 149440000.

The previous prime is 616505999. The next prime is 616506001. The reversal of 616506000 is 605616.

It is an interprime number because it is at equal distance from previous prime (616505999) and next prime (616506001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (616506001) 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 31 ways as a sum of consecutive naturals, for example, 61330 + ... + 70670.

Almost surely, 2^616506000 is an apocalyptic number.

616506000 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 616506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084269888).

616506000 is an abundant number, since it is smaller than the sum of its proper divisors (1552033776).

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

616506000 is a wasteful number, since it uses less digits than its factorization.

616506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 616506000 is about 24829.5388599950. The cubic root of 616506000 is about 851.0970839754.

The spelling of 616506000 in words is "six hundred sixteen million, five hundred six thousand".