4706676 has 72 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 1419264.

The previous prime is 4706657. The next prime is 4706711. The reversal of 4706676 is 6766074.

It can be written as a sum of positive squares in 4 ways, for example, as 396900 + 4309776 = 630^2 + 2076^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4706676.

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, 41596 + ... + 41708.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^4706676 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 4706676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

4706676 is an abundant number, since it is smaller than the sum of its proper divisors (8364564).

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

4706676 is a wasteful number, since it uses less digits than its factorization.

4706676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4706676 is about 2169.4874970831. The cubic root of 4706676 is about 167.5861411825.

The spelling of 4706676 in words is "four million, seven hundred six thousand, six hundred seventy-six".