1362400 has 72 divisors (see below), whose sum is σ = 3609144. Its totient is φ = 499200.

The previous prime is 1362371. The next prime is 1362401. The reversal of 1362400 is 42631.

It is a super-2 number, since 2×1362400² = 3712267520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10335 + ... + 10465.

It is an arithmetic number, because the mean of its divisors is an integer number (50127).

2^1362400 is an apocalyptic number.

1362400 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 1362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804572).

1362400 is an abundant number, since it is smaller than the sum of its proper divisors (2246744).

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

1362400 is a wasteful number, since it uses less digits than its factorization.

1362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1362400 is about 1167.2189169132. The cubic root of 1362400 is about 110.8582992860.

The spelling of 1362400 in words is "one million, three hundred sixty-two thousand, four hundred".