13076640 has 120 divisors (see below), whose sum is σ = 46195380. Its totient is φ = 3483648.

The previous prime is 13076639. The next prime is 13076641. The reversal of 13076640 is 4667031.

13076640 is a `hidden beast` number, since 13 + 0 + 7 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (13076639) and next prime (13076641).

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 374544 = 3564^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13076641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12456 + ... + 13464.

Almost surely, 2^13076640 is an apocalyptic number.

13076640 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 13076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097690).

13076640 is an abundant number, since it is smaller than the sum of its proper divisors (33118740).

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

13076640 is a wasteful number, since it uses less digits than its factorization.

13076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13076640 is about 3616.1637131081. The cubic root of 13076640 is about 235.5946311242.

The spelling of 13076640 in words is "thirteen million, seventy-six thousand, six hundred forty".