5211648 has 160 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 1548288.

The previous prime is 5211641. The next prime is 5211659. The reversal of 5211648 is 8461125.

5211648 is a `hidden beast` number, since 5 + 2 + 11 + 648 = 666.

It is a super-2 number, since 2×5211648² = 54322549751808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211641) 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, 179698 + ... + 179726.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

Almost surely, 2^5211648 is an apocalyptic number.

5211648 is a gapful number since it is divisible by the number (58) 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 5211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

5211648 is an abundant number, since it is smaller than the sum of its proper divisors (11974752).

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

5211648 is a wasteful number, since it uses less digits than its factorization.

5211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5211648 is about 2282.9034145141. The cubic root of 5211648 is about 173.3770829737.

The spelling of 5211648 in words is "five million, two hundred eleven thousand, six hundred forty-eight".