13164840 has 192 divisors, whose sum is σ = 48157200. Its totient is φ = 3096576.

The previous prime is 13164821. The next prime is 13164881. The reversal of 13164840 is 4846131.

13164840 is a `hidden beast` number, since 13 + 1 + 648 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3090564 + 10074276 = 1758^2 + 3174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135672 + ... + 135768.

Almost surely, 2^13164840 is an apocalyptic number.

13164840 is a gapful number since it is divisible by the number (10) 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 13164840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078600).

13164840 is an abundant number, since it is smaller than the sum of its proper divisors (34992360).

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

13164840 is a wasteful number, since it uses less digits than its factorization.

13164840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13164840 is about 3628.3384627127. The cubic root of 13164840 is about 236.1231283183.

It can be divided in two parts, 1 and 3164840, that added together give a square (3164841 = 1779²).

The spelling of 13164840 in words is "thirteen million, one hundred sixty-four thousand, eight hundred forty".