1393920 has 162 divisors, whose sum is σ = 5301114. Its totient is φ = 337920.

The previous prime is 1393919. The next prime is 1393921. The reversal of 1393920 is 293931.

1393920 = T₁₀₁ + T₁₀₂ + ... + T₂₁₀.

It is an interprime number because it is at equal distance from previous prime (1393919) and next prime (1393921).

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 278784 = 1056^2 + 528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393921) 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, 126715 + ... + 126725.

2^1393920 is an apocalyptic number.

1393920 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 1393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650557).

1393920 is an abundant number, since it is smaller than the sum of its proper divisors (3907194).

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

1393920 is a wasteful number, since it uses less digits than its factorization.

1393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1393920 is about 1180.6438921199. The cubic root of 1393920 is about 111.7067156662.

The spelling of 1393920 in words is "one million, three hundred ninety-three thousand, nine hundred twenty".