612817920 has 704 divisors, whose sum is σ = 2641121280. Its totient is φ = 132710400.

The previous prime is 612817883. The next prime is 612817927. The reversal of 612817920 is 29718216.

612817920 is a `hidden beast` number, since 612 + 8 + 17 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 (612817927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19768305 + ... + 19768335.

Almost surely, 2^612817920 is an apocalyptic number.

612817920 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 612817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320560640).

612817920 is an abundant number, since it is smaller than the sum of its proper divisors (2028303360).

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

612817920 is a wasteful number, since it uses less digits than its factorization.

612817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 612817920 is about 24755.1594622212. The cubic root of 612817920 is about 849.3965359119.

The spelling of 612817920 in words is "six hundred twelve million, eight hundred seventeen thousand, nine hundred twenty".