1407680 has 56 divisors (see below), whose sum is σ = 3456432. Its totient is φ = 545792.

The previous prime is 1407671. The next prime is 1407709. The reversal of 1407680 is 867041.

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, 16919 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (61722).

2^1407680 is an apocalyptic number.

1407680 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 1407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728216).

1407680 is an abundant number, since it is smaller than the sum of its proper divisors (2048752).

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

1407680 is an equidigital number, since it uses as much as digits as its factorization.

1407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1407680 is about 1186.4569103006. The cubic root of 1407680 is about 112.0730815546.

The spelling of 1407680 in words is "one million, four hundred seven thousand, six hundred eighty".