5064000 has 112 divisors (see below), whose sum is σ = 16800576. Its totient is φ = 1344000.

The previous prime is 5063999. The next prime is 5064019. The reversal of 5064000 is 4605.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23895 + ... + 24105.

Almost surely, 2^5064000 is an apocalyptic number.

5064000 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 5064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400288).

5064000 is an abundant number, since it is smaller than the sum of its proper divisors (11736576).

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

5064000 is a wasteful number, since it uses less digits than its factorization.

5064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5064000 is about 2250.3333086456. Note that the first 4 decimals coincide. The cubic root of 5064000 is about 171.7240934379.

Adding to 5064000 its reverse (4605), we get a palindrome (5068605).

It can be divided in two parts, 50 and 64000, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 5064000 in words is "five million, sixty-four thousand".