1368864 has 108 divisors (see below), whose sum is σ = 4574934. Its totient is φ = 387072.

The previous prime is 1368847. The next prime is 1368869. The reversal of 1368864 is 4688631.

1368864 = T₁₇₄ + T₁₇₅ + ... + T₂₃₇.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 176400 = 1092^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368869) 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, 14064 + ... + 14160.

2^1368864 is an apocalyptic number.

1368864 is a gapful number since it is divisible by the number (14) 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 1368864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287467).

1368864 is an abundant number, since it is smaller than the sum of its proper divisors (3206070).

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

1368864 is a wasteful number, since it uses less digits than its factorization.

1368864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1368864 is about 1169.9846152835. The cubic root of 1368864 is about 111.0333476624.

Adding to 1368864 its sum of digits (36), we get a square (1368900 = 1170²).

The spelling of 1368864 in words is "one million, three hundred sixty-eight thousand, eight hundred sixty-four".