5141664 has 96 divisors (see below), whose sum is σ = 16390080. Its totient is φ = 1555200.

The previous prime is 5141663. The next prime is 5141677. The reversal of 5141664 is 4661415.

5141664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5141663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9234 + ... + 9774.

It is an arithmetic number, because the mean of its divisors is an integer number (170730).

Almost surely, 2^5141664 is an apocalyptic number.

5141664 is a gapful number since it is divisible by the number (54) 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 5141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195040).

5141664 is an abundant number, since it is smaller than the sum of its proper divisors (11248416).

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

5141664 is a wasteful number, since it uses less digits than its factorization.

5141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5141664 is about 2267.5237595227. The cubic root of 5141664 is about 172.5975251927.

Subtracting from 5141664 its reverse (4661415), we obtain a square (480249 = 693²).

The spelling of 5141664 in words is "five million, one hundred forty-one thousand, six hundred sixty-four".