1401920 has 56 divisors (see below), whose sum is σ = 3605784. Its totient is φ = 516096.

The previous prime is 1401857. The next prime is 1401937. The reversal of 1401920 is 291041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 1401856 = 8^2 + 1184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3992 + ... + 4328.

It is an arithmetic number, because the mean of its divisors is an integer number (64389).

2^1401920 is an apocalyptic number.

1401920 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 1401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802892).

1401920 is an abundant number, since it is smaller than the sum of its proper divisors (2203864).

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

1401920 is a wasteful number, since it uses less digits than its factorization.

1401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1401920 is about 1184.0270267186. The cubic root of 1401920 is about 111.9200109135.

Adding to 1401920 its reverse (291041), we get a palindrome (1692961).

The spelling of 1401920 in words is "one million, four hundred one thousand, nine hundred twenty".