616010400 has 432 divisors, whose sum is σ = 2381097600. Its totient is φ = 153653760.

The previous prime is 616010387. The next prime is 616010401. The reversal of 616010400 is 4010616.

616010400 is a `hidden beast` number, since 61 + 601 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (616010401) 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 71 ways as a sum of consecutive naturals, for example, 7797561 + ... + 7797639.

It is an arithmetic number, because the mean of its divisors is an integer number (5511800).

Almost surely, 2^616010400 is an apocalyptic number.

616010400 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 616010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190548800).

616010400 is an abundant number, since it is smaller than the sum of its proper divisors (1765087200).

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

616010400 is a wasteful number, since it uses less digits than its factorization.

616010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 616010400 is about 24819.5568050681. The cubic root of 616010400 is about 850.8689614091.

The spelling of 616010400 in words is "six hundred sixteen million, ten thousand, four hundred".