616920 has 64 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 159744.

The previous prime is 616909. The next prime is 616933. The reversal of 616920 is 29616.

616920 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6312 + ... + 6408.

2⁶¹⁶⁹²⁰ is an apocalyptic number.

616920 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 616920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

616920 is an abundant number, since it is smaller than the sum of its proper divisors (1288200).

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

616920 is a wasteful number, since it uses less digits than its factorization.

616920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 616920 is about 785.4425504135. The cubic root of 616920 is about 85.1287552709.

The spelling of 616920 in words is "six hundred sixteen thousand, nine hundred twenty".