1393632 has 48 divisors (see below), whose sum is σ = 4067280. Its totient is φ = 464256.

The previous prime is 1393627. The next prime is 1393633. The reversal of 1393632 is 2363931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 1393596 and 1393605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 1670.

It is an arithmetic number, because the mean of its divisors is an integer number (84735).

2^1393632 is an apocalyptic number.

1393632 is a gapful number since it is divisible by the number (12) 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 1393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033640).

1393632 is an abundant number, since it is smaller than the sum of its proper divisors (2673648).

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

1393632 is a wasteful number, since it uses less digits than its factorization.

1393632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 1393632 is about 1180.5219184750. The cubic root of 1393632 is about 111.6990218364.

Subtracting 1393632 from its reverse (2363931), we obtain a cube (970299 = 99³).

It can be divided in two parts, 1393 and 632, that added together give a square (2025 = 45²).

The spelling of 1393632 in words is "one million, three hundred ninety-three thousand, six hundred thirty-two".