616405140 has 120 divisors (see below), whose sum is σ = 2082501960. Its totient is φ = 151725312.

The previous prime is 616405133. The next prime is 616405151. The reversal of 616405140 is 41504616.

616405140 is a `hidden beast` number, since 6 + 1 + 640 + 5 + 14 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 593994384 = 4734^2 + 24372^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6426 + ... + 35694.

It is an arithmetic number, because the mean of its divisors is an integer number (17354183).

Almost surely, 2^616405140 is an apocalyptic number.

616405140 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 616405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041250980).

616405140 is an abundant number, since it is smaller than the sum of its proper divisors (1466096820).

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

616405140 is a wasteful number, since it uses less digits than its factorization.

616405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29303 (or 29292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 616405140 is about 24827.5077283242. The cubic root of 616405140 is about 851.0506684588.

Adding to 616405140 its reverse (41504616), we get a palindrome (657909756).

The spelling of 616405140 in words is "six hundred sixteen million, four hundred five thousand, one hundred forty".