1314720 has 144 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 314880.

The previous prime is 1314701. The next prime is 1314767. The reversal of 1314720 is 274131.

1314720 = 37³ + 38³ + ... + 51³.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1314693 and 1314702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15799 + ... + 15881.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2^1314720 is an apocalyptic number.

1314720 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 1314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1314720 is an abundant number, since it is smaller than the sum of its proper divisors (3638592).

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

1314720 is a wasteful number, since it uses less digits than its factorization.

1314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1314720 is about 1146.6124018168. The cubic root of 1314720 is about 109.5496740907.

Adding to 1314720 its reverse (274131), we get a palindrome (1588851).

It can be divided in two parts, 131 and 4720, that added together give a triangular number (4851 = T₉₈).

The spelling of 1314720 in words is "one million, three hundred fourteen thousand, seven hundred twenty".