616734 has 36 divisors (see below), whose sum is σ = 1417104. Its totient is φ = 201204.

The previous prime is 616729. The next prime is 616741. The reversal of 616734 is 437616.

616734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 616698 and 616707.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 616734.

It is an unprimeable number.

616734 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13099 + ... + 13145.

It is an arithmetic number, because the mean of its divisors is an integer number (39364).

616734 is a Friedman number, since it can be written as 6*(41+6)*3^7, using all its digits and the basic arithmetic operations.

2⁶¹⁶⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708552).

616734 is an abundant number, since it is smaller than the sum of its proper divisors (800370).

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

616734 is an frugal number, since it uses more digits than its factorization.

616734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 616734 is about 785.3241369014. The cubic root of 616734 is about 85.1201990345.

The spelling of 616734 in words is "six hundred sixteen thousand, seven hundred thirty-four".