5249664 has 192 divisors, whose sum is σ = 18604800. Its totient is φ = 1451520.

The previous prime is 5249663. The next prime is 5249683. The reversal of 5249664 is 4669425.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5249664² = 55117944225792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5249663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169329 + ... + 169359.

It is an arithmetic number, because the mean of its divisors is an integer number (96900).

Almost surely, 2^5249664 is an apocalyptic number.

5249664 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 5249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

5249664 is an abundant number, since it is smaller than the sum of its proper divisors (13355136).

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

5249664 is a wasteful number, since it uses less digits than its factorization.

5249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5249664 is about 2291.2145250936. The cubic root of 5249664 is about 173.7976244035.

The spelling of 5249664 in words is "five million, two hundred forty-nine thousand, six hundred sixty-four".