1364400 has 90 divisors (see below), whose sum is σ = 4747340. Its totient is φ = 362880.

The previous prime is 1364399. The next prime is 1364401. The reversal of 1364400 is 44631.

It is an interprime number because it is at equal distance from previous prime (1364399) and next prime (1364401).

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1364401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3411 + ... + 3789.

2^1364400 is an apocalyptic number.

1364400 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 1364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373670).

1364400 is an abundant number, since it is smaller than the sum of its proper divisors (3382940).

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

1364400 is a wasteful number, since it uses less digits than its factorization.

1364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1364400 is about 1168.0753400359. The cubic root of 1364400 is about 110.9125193373.

It can be divided in two parts, 1364 and 400, that added together give a square (1764 = 42²).

The spelling of 1364400 in words is "one million, three hundred sixty-four thousand, four hundred".