616488000 has 224 divisors, whose sum is σ = 2156813568. Its totient is φ = 154624000.

The previous prime is 616487999. The next prime is 616488001. The reversal of 616488000 is 884616.

It is an interprime number because it is at equal distance from previous prime (616487999) and next prime (616488001).

It is not an unprimeable number, because it can be changed into a prime (616488001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407245 + ... + 408755.

It is an arithmetic number, because the mean of its divisors is an integer number (9628632).

Almost surely, 2^616488000 is an apocalyptic number.

616488000 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 616488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078406784).

616488000 is an abundant number, since it is smaller than the sum of its proper divisors (1540325568).

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

616488000 is a wasteful number, since it uses less digits than its factorization.

616488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 616488000 is about 24829.1763858570. The cubic root of 616488000 is about 851.0888007921.

The spelling of 616488000 in words is "six hundred sixteen million, four hundred eighty-eight thousand".