1361400 has 48 divisors (see below), whose sum is σ = 4222200. Its totient is φ = 362880.

The previous prime is 1361389. The next prime is 1361401. The reversal of 1361400 is 41631.

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 1361400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 1734.

2^1361400 is an apocalyptic number.

1361400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361400 is an abundant number, since it is smaller than the sum of its proper divisors (2860800).

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

1361400 is a wasteful number, since it uses less digits than its factorization.

1361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1361400 is about 1166.7904696217. The cubic root of 1361400 is about 110.8311693600.

The spelling of 1361400 in words is "one million, three hundred sixty-one thousand, four hundred".