5346640 has 80 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 1916928.

The previous prime is 5346631. The next prime is 5346647. The reversal of 5346640 is 466435.

5346640 = T₁₃₁ + T₁₃₂ + ... + T₃₂₄.

It can be written as a sum of positive squares in 8 ways, for example, as 166464 + 5180176 = 408^2 + 2276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5346599 and 5346608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346647) 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, 55072 + ... + 55168.

Almost surely, 2^5346640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

5346640 is an abundant number, since it is smaller than the sum of its proper divisors (8433728).

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

5346640 is a wasteful number, since it uses less digits than its factorization.

5346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5346640 is about 2312.2802598301. The cubic root of 5346640 is about 174.8612778193.

The spelling of 5346640 in words is "five million, three hundred forty-six thousand, six hundred forty".