1401600 has 108 divisors (see below), whose sum is σ = 4688936. Its totient is φ = 368640.

The previous prime is 1401571. The next prime is 1401601. The reversal of 1401600 is 61041.

1401600 = T₅₉ + T₆₀ + ... + T₂₀₄.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19164 + ... + 19236.

2^1401600 is an apocalyptic number.

1401600 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 1401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344468).

1401600 is an abundant number, since it is smaller than the sum of its proper divisors (3287336).

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

1401600 is an equidigital number, since it uses as much as digits as its factorization.

1401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1401600 is about 1183.8918869559. The cubic root of 1401600 is about 111.9114947051.

Adding to 1401600 its reverse (61041), we get a palindrome (1462641).

The spelling of 1401600 in words is "one million, four hundred one thousand, six hundred".