5206464 has 112 divisors (see below), whose sum is σ = 16093440. Its totient is φ = 1647360.

The previous prime is 5206459. The next prime is 5206477. The reversal of 5206464 is 4646025.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39679 + ... + 39809.

Almost surely, 2^5206464 is an apocalyptic number.

5206464 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 5206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046720).

5206464 is an abundant number, since it is smaller than the sum of its proper divisors (10886976).

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

5206464 is a wasteful number, since it uses less digits than its factorization.

5206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5206464 is about 2281.7677357698. The cubic root of 5206464 is about 173.3195781327.

Multiplying 5206464 by its sum of digits (27), we get a triangular number (140574528 = T₁₆₇₆₇).

The spelling of 5206464 in words is "five million, two hundred six thousand, four hundred sixty-four".