1607628 has 48 divisors (see below), whose sum is σ = 4314240. Its totient is φ = 460800.

The previous prime is 1607621. The next prime is 1607659. The reversal of 1607628 is 8267061.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1607595 and 1607604.

It is not an unprimeable number, because it can be changed into a prime (1607621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2188 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (89880).

2^1607628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157120).

1607628 is an abundant number, since it is smaller than the sum of its proper divisors (2706612).

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

1607628 is a wasteful number, since it uses less digits than its factorization.

1607628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1607628 is about 1267.9227105782. The cubic root of 1607628 is about 117.1462849908.

The spelling of 1607628 in words is "one million, six hundred seven thousand, six hundred twenty-eight".