1406628 has 36 divisors (see below), whose sum is σ = 3646188. Its totient is φ = 456960.

The previous prime is 1406617. The next prime is 1406633. The reversal of 1406628 is 8266041.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 1127844 = 528^2 + 1062^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam 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 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (101283).

2^1406628 is an apocalyptic number.

1406628 is a gapful number since it is divisible by the number (18) 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 1406628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823094).

1406628 is an abundant number, since it is smaller than the sum of its proper divisors (2239560).

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

1406628 is a wasteful number, since it uses less digits than its factorization.

1406628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1406628 is about 1186.0134906484. The cubic root of 1406628 is about 112.0451561113.

The spelling of 1406628 in words is "one million, four hundred six thousand, six hundred twenty-eight".