616998400 has 240 divisors, whose sum is σ = 1674446400. Its totient is φ = 224501760.

The previous prime is 616998383. The next prime is 616998401. The reversal of 616998400 is 4899616.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616998401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10457571 + ... + 10457629.

It is an arithmetic number, because the mean of its divisors is an integer number (6976860).

Almost surely, 2^616998400 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 616998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837223200).

616998400 is an abundant number, since it is smaller than the sum of its proper divisors (1057448000).

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

616998400 is a wasteful number, since it uses less digits than its factorization.

616998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 616998400 is about 24839.4524899403. The cubic root of 616998400 is about 851.3236125528.

The spelling of 616998400 in words is "six hundred sixteen million, nine hundred ninety-eight thousand, four hundred".