5164000 has 48 divisors (see below), whose sum is σ = 12697776. Its totient is φ = 2064000.

The previous prime is 5163997. The next prime is 5164007. The reversal of 5164000 is 4615.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3355 + ... + 4645.

It is an arithmetic number, because the mean of its divisors is an integer number (264537).

Almost surely, 2^5164000 is an apocalyptic number.

5164000 is a gapful number since it is divisible by the number (50) 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 5164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888).

5164000 is an abundant number, since it is smaller than the sum of its proper divisors (7533776).

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

5164000 is a wasteful number, since it uses less digits than its factorization.

5164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5164000 is about 2272.4436186625. The cubic root of 5164000 is about 172.8470922176.

Adding to 5164000 its reverse (4615), we get a palindrome (5168615).

The spelling of 5164000 in words is "five million, one hundred sixty-four thousand".