1407216 has 40 divisors (see below), whose sum is σ = 3829120. Its totient is φ = 444096.

The previous prime is 1407193. The next prime is 1407223. The reversal of 1407216 is 6127041.

1407216 = 194² + 195² + ... + 225².

It is a junction number, because it is equal to n+sod(n) for n = 1407192 and 1407201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (95728).

2^1407216 is an apocalyptic number.

1407216 is a gapful number since it is divisible by the number (16) 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 1407216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914560).

1407216 is an abundant number, since it is smaller than the sum of its proper divisors (2421904).

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

1407216 is a wasteful number, since it uses less digits than its factorization.

1407216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1407216 is about 1186.2613540026. The cubic root of 1407216 is about 112.0607663446.

The spelling of 1407216 in words is "one million, four hundred seven thousand, two hundred sixteen".