1314900 has 72 divisors (see below), whose sum is σ = 4235840. Its totient is φ = 349920.

The previous prime is 1314893. The next prime is 1314917. The reversal of 1314900 is 94131.

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

It is a congruent number.

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, 2457 + ... + 2943.

2^1314900 is an apocalyptic number.

1314900 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 1314900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117920).

1314900 is an abundant number, since it is smaller than the sum of its proper divisors (2920940).

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

1314900 is a wasteful number, since it uses less digits than its factorization.

1314900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1314900 is about 1146.6908912170. The cubic root of 1314900 is about 109.5546733913.

The spelling of 1314900 in words is "one million, three hundred fourteen thousand, nine hundred".