1407120 has 160 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 307200.

The previous prime is 1407113. The next prime is 1407143. The reversal of 1407120 is 217041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1407120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34300 + ... + 34340.

2^1407120 is an apocalyptic number.

1407120 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 1407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

1407120 is an abundant number, since it is smaller than the sum of its proper divisors (3842544).

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

1407120 is a wasteful number, since it uses less digits than its factorization.

1407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1407120 is about 1186.2208900538. The cubic root of 1407120 is about 112.0582180321.

It can be divided in two parts, 140 and 7120, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 1407120 in words is "one million, four hundred seven thousand, one hundred twenty".