506920680 has 480 divisors, whose sum is σ = 2065789440. Its totient is φ = 111041280.

The previous prime is 506920663. The next prime is 506920681. The reversal of 506920680 is 86029605.

506920680 is a `hidden beast` number, since 506 + 92 + 0 + 68 + 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 not an unprimeable number, because it can be changed into a prime (506920681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4921509 + ... + 4921611.

It is an arithmetic number, because the mean of its divisors is an integer number (4303728).

Almost surely, 2^506920680 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 506920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032894720).

506920680 is an abundant number, since it is smaller than the sum of its proper divisors (1558868760).

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

506920680 is a wasteful number, since it uses less digits than its factorization.

506920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 506920680 is about 22514.8990670622. The cubic root of 506920680 is about 797.3457240971.

The spelling of 506920680 in words is "five hundred six million, nine hundred twenty thousand, six hundred eighty".