1772064 has 96 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 504576.

The previous prime is 1772047. The next prime is 1772077. The reversal of 1772064 is 4602771.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5902 + ... + 6194.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

2^1772064 is an apocalyptic number.

1772064 is a gapful number since it is divisible by the number (14) 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 1772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

1772064 is an abundant number, since it is smaller than the sum of its proper divisors (4154976).

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

1772064 is a wasteful number, since it uses less digits than its factorization.

1772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

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

The square root of 1772064 is about 1331.1889422618. The cubic root of 1772064 is about 121.0114507753.

The spelling of 1772064 in words is "one million, seven hundred seventy-two thousand, sixty-four".