616416000 has 144 divisors (see below), whose sum is σ = 2047744608. Its totient is φ = 164352000.

The previous prime is 616415983. The next prime is 616416001. The reversal of 616416000 is 614616.

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 (616416001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92790 + ... + 99210.

Almost surely, 2^616416000 is an apocalyptic number.

616416000 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 616416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023872304).

616416000 is an abundant number, since it is smaller than the sum of its proper divisors (1431328608).

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

616416000 is an equidigital number, since it uses as much as digits as its factorization.

616416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 616416000 is about 24827.7264363856. The cubic root of 616416000 is about 851.0556664465.

The spelling of 616416000 in words is "six hundred sixteen million, four hundred sixteen thousand".