13760640 has 96 divisors (see below), whose sum is σ = 47537100. Its totient is φ = 3667968.

The previous prime is 13760639. The next prime is 13760641. The reversal of 13760640 is 4606731.

13760640 is a `hidden beast` number, since 13 + 7 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (13760639) and next prime (13760641).

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 627264 = 3624^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13760641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4566 + ... + 6954.

Almost surely, 2^13760640 is an apocalyptic number.

13760640 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 13760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768550).

13760640 is an abundant number, since it is smaller than the sum of its proper divisors (33776460).

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

13760640 is a wasteful number, since it uses less digits than its factorization.

13760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2399 counting only the distinct ones).

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

The square root of 13760640 is about 3709.5336634138. The cubic root of 13760640 is about 239.6327717174.

It can be divided in two parts, 13760 and 640, that added together give a square (14400 = 120²).

The spelling of 13760640 in words is "thirteen million, seven hundred sixty thousand, six hundred forty".