1772640 has 72 divisors (see below), whose sum is σ = 6054048. Its totient is φ = 472320.

The previous prime is 1772629. The next prime is 1772647. The reversal of 1772640 is 462771.

1772640 is a `hidden beast` number, since 17 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772647) 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, 825 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

2^1772640 is an apocalyptic number.

1772640 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 1772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027024).

1772640 is an abundant number, since it is smaller than the sum of its proper divisors (4281408).

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

1772640 is a wasteful number, since it uses less digits than its factorization.

1772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1772640 is about 1331.4052726349. The cubic root of 1772640 is about 121.0245607316.

It can be divided in two parts, 17726 and 40, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 1772640 in words is "one million, seven hundred seventy-two thousand, six hundred forty".