1766628 has 36 divisors (see below), whose sum is σ = 4612608. Its totient is φ = 569520.

The previous prime is 1766627. The next prime is 1766629. The reversal of 1766628 is 8266671.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1766627) and next prime (1766629).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1766592 and 1766601.

It is not an unprimeable number, because it can be changed into a prime (1766627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (128128).

2^1766628 is an apocalyptic number.

1766628 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 1766628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306304).

1766628 is an abundant number, since it is smaller than the sum of its proper divisors (2845980).

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

1766628 is a wasteful number, since it uses less digits than its factorization.

1766628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1619 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1766628 is about 1329.1455902195. The cubic root of 1766628 is about 120.8875854148.

The spelling of 1766628 in words is "one million, seven hundred sixty-six thousand, six hundred twenty-eight".