616162400 has 144 divisors (see below), whose sum is σ = 1809884160. Its totient is φ = 200102400.

The previous prime is 616162363. The next prime is 616162423. The reversal of 616162400 is 4261616.

It is a happy number.

It is a super-2 number, since 2×616162400² = 759312206347520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 616162400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 103505 + ... + 109295.

It is an arithmetic number, because the mean of its divisors is an integer number (12568640).

Almost surely, 2^616162400 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 616162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904942080).

616162400 is an abundant number, since it is smaller than the sum of its proper divisors (1193721760).

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

616162400 is a wasteful number, since it uses less digits than its factorization.

616162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 616162400 is about 24822.6187176132. The cubic root of 616162400 is about 850.9389393652.

The spelling of 616162400 in words is "six hundred sixteen million, one hundred sixty-two thousand, four hundred".