612097920 has 768 divisors, whose sum is σ = 2749593600. Its totient is φ = 122093568.

The previous prime is 612097909. The next prime is 612097921. The reversal of 612097920 is 29790216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612097921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023337 + ... + 13023383.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^612097920 is an apocalyptic number.

612097920 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 612097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

612097920 is an abundant number, since it is smaller than the sum of its proper divisors (2137495680).

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

612097920 is a wasteful number, since it uses less digits than its factorization.

612097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 612097920 is about 24740.6127652490. The cubic root of 612097920 is about 849.0637534481.

It can be divided in two parts, 6120 and 97920, that multiplied together give a square (599270400 = 24480²).

The spelling of 612097920 in words is "six hundred twelve million, ninety-seven thousand, nine hundred twenty".