612920 has 64 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 190080.

The previous prime is 612889. The next prime is 612923. The reversal of 612920 is 29216.

612920 = T₁₇₆ + T₁₇₇ + ... + T₂₀₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 612892 and 612901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612923) by changing a digit.

612920 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 15 ways as a sum of consecutive naturals, for example, 2981 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁶¹²⁹²⁰ 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 612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

612920 is an abundant number, since it is smaller than the sum of its proper divisors (1115080).

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

612920 is a wasteful number, since it uses less digits than its factorization.

612920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 612920 is about 782.8920742989. The cubic root of 612920 is about 84.9443695969.

The spelling of 612920 in words is "six hundred twelve thousand, nine hundred twenty".