612745920 has 168 divisors, whose sum is σ = 2123053920. Its totient is φ = 162201600.

The previous prime is 612745853. The next prime is 612745949. The reversal of 612745920 is 29547216.

612745920 is a `hidden beast` number, since 61 + 2 + 7 + 4 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434176 + ... + 435584.

Almost surely, 2^612745920 is an apocalyptic number.

612745920 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 612745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061526960).

612745920 is an abundant number, since it is smaller than the sum of its proper divisors (1510308000).

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

612745920 is a wasteful number, since it uses less digits than its factorization.

612745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 612745920 is about 24753.7051772053. The cubic root of 612745920 is about 849.3632693989.

The spelling of 612745920 in words is "six hundred twelve million, seven hundred forty-five thousand, nine hundred twenty".