1364688 has 90 divisors (see below), whose sum is σ = 4270994. Its totient is φ = 419904.

The previous prime is 1364677. The next prime is 1364717. The reversal of 1364688 is 8864631.

It is a happy number.

1364688 is a `hidden beast` number, since 1 + 3 + 646 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 419904 = 972^2 + 648^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (27648) is a multiple of the sum of its prime divisors (18).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104970 + ... + 104982.

2^1364688 is an apocalyptic number.

1364688 is a gapful number since it is divisible by the number (18) 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 1364688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135497).

1364688 is an abundant number, since it is smaller than the sum of its proper divisors (2906306).

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

1364688 is an frugal number, since it uses more digits than its factorization.

1364688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

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

The square root of 1364688 is about 1168.1986132503. The cubic root of 1364688 is about 110.9203226595.

The spelling of 1364688 in words is "one million, three hundred sixty-four thousand, six hundred eighty-eight".