12689040 has 240 divisors, whose sum is σ = 49871808. Its totient is φ = 2644992.

The previous prime is 12689029. The next prime is 12689051. The reversal of 12689040 is 4098621.

It is an interprime number because it is at equal distance from previous prime (12689029) and next prime (12689051).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12689040² = 322023472243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12688989 and 12689007.

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, 152839 + ... + 152921.

Almost surely, 2^12689040 is an apocalyptic number.

12689040 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 12689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

12689040 is an abundant number, since it is smaller than the sum of its proper divisors (37182768).

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

12689040 is a wasteful number, since it uses less digits than its factorization.

12689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12689040 is about 3562.1678792556. The cubic root of 12689040 is about 233.2435209903.

The spelling of 12689040 in words is "twelve million, six hundred eighty-nine thousand, forty".