506756670 has 64 divisors (see below), whose sum is σ = 1400979456. Its totient is φ = 114912000.

The previous prime is 506756669. The next prime is 506756683. The reversal of 506756670 is 76657605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17170 + ... + 36170.

It is an arithmetic number, because the mean of its divisors is an integer number (21890304).

Almost surely, 2^506756670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506756670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700489728).

506756670 is an abundant number, since it is smaller than the sum of its proper divisors (894222786).

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

506756670 is a wasteful number, since it uses less digits than its factorization.

506756670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19145.

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 506756670 is about 22511.2565175736. The cubic root of 506756670 is about 797.2597232799.

The spelling of 506756670 in words is "five hundred six million, seven hundred fifty-six thousand, six hundred seventy".