612241920 has 120 divisors (see below), whose sum is σ = 2120445756. Its totient is φ = 163258368.

The previous prime is 612241897. The next prime is 612241937. The reversal of 612241920 is 29142216.

612241920 is a `hidden beast` number, since 612 + 2 + 41 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 555450624 + 56791296 = 23568^2 + 7536^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9754 + ... + 36326.

Almost surely, 2^612241920 is an apocalyptic number.

612241920 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 612241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060222878).

612241920 is an abundant number, since it is smaller than the sum of its proper divisors (1508203836).

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

612241920 is a wasteful number, since it uses less digits than its factorization.

612241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26602 (or 26583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 612241920 is about 24743.5227888027. The cubic root of 612241920 is about 849.1303308098.

The spelling of 612241920 in words is "six hundred twelve million, two hundred forty-one thousand, nine hundred twenty".