1263680 has 56 divisors (see below), whose sum is σ = 3291840. Its totient is φ = 458240.

The previous prime is 1263677. The next prime is 1263697. The reversal of 1263680 is 863621.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3341 + ... + 3699.

2^1263680 is an apocalyptic number.

1263680 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 1263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920).

1263680 is an abundant number, since it is smaller than the sum of its proper divisors (2028160).

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

1263680 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1263679) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (377).

1263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1263680 is about 1124.1352231827. The cubic root of 1263680 is about 108.1132784915.

The spelling of 1263680 in words is "one million, two hundred sixty-three thousand, six hundred eighty".