1406100 has 72 divisors (see below), whose sum is σ = 4201120. Its totient is φ = 362880.

The previous prime is 1406089. The next prime is 1406101. The reversal of 1406100 is 16041.

Added to its reverse (16041) it gives a triangular number (1422141 = T₁₆₈₆).

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 (1406101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12846 + ... + 12954.

2^1406100 is an apocalyptic number.

1406100 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 1406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100560).

1406100 is an abundant number, since it is smaller than the sum of its proper divisors (2795020).

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

1406100 is a wasteful number, since it uses less digits than its factorization.

1406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

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

The square root of 1406100 is about 1185.7908753233. The cubic root of 1406100 is about 112.0311350514.

Adding to 1406100 its reverse (16041), we get a triangular number (1422141 = T₁₆₈₆).

The spelling of 1406100 in words is "one million, four hundred six thousand, one hundred".