506761920 has 672 divisors, whose sum is σ = 2218944000. Its totient is φ = 109734912.

The previous prime is 506761919. The next prime is 506761933. The reversal of 506761920 is 29167605.

506761920 is a `hidden beast` number, since 506 + 7 + 61 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 26671671 + ... + 26671689.

It is an arithmetic number, because the mean of its divisors is an integer number (3302000).

Almost surely, 2^506761920 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 506761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109472000).

506761920 is an abundant number, since it is smaller than the sum of its proper divisors (1712182080).

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

506761920 is an equidigital number, since it uses as much as digits as its factorization.

506761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 506761920 is about 22511.3731256003. The cubic root of 506761920 is about 797.2624764745.

The spelling of 506761920 in words is "five hundred six million, seven hundred sixty-one thousand, nine hundred twenty".