1771264 has 72 divisors (see below), whose sum is σ = 4194288. Its totient is φ = 737280.

The previous prime is 1771261. The next prime is 1771271. The reversal of 1771264 is 4621771.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1771261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47854 + ... + 47890.

It is an arithmetic number, because the mean of its divisors is an integer number (58254).

2^1771264 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 1771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097144).

1771264 is an abundant number, since it is smaller than the sum of its proper divisors (2423024).

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

1771264 is a wasteful number, since it uses less digits than its factorization.

1771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 1771264 is about 1330.8884250755. Note that the first 3 decimals coincide. The cubic root of 1771264 is about 120.9932377889.

It can be divided in two parts, 177 and 1264, that added together give a palindrome (1441).

The spelling of 1771264 in words is "one million, seven hundred seventy-one thousand, two hundred sixty-four".