1065888 has 36 divisors (see below), whose sum is σ = 3031938. Its totient is φ = 355200.

The previous prime is 1065887. The next prime is 1065893. The reversal of 1065888 is 8885601.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 121104 = 972^2 + 348^2 .

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

It is a super-2 number, since 2×1065888² = 2272234457088, which contains 22 as substring.

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1065887) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1563 + ... + 2138.

2^1065888 is an apocalyptic number.

1065888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1065888 is an abundant number, since it is smaller than the sum of its proper divisors (1966050).

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

1065888 is a wasteful number, since it uses less digits than its factorization.

1065888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1065888 is about 1032.4185197874. The cubic root of 1065888 is about 102.1497224497.

It can be divided in two parts, 1065 and 888, that added together give a triangular number (1953 = T₆₂).

The spelling of 1065888 in words is "one million, sixty-five thousand, eight hundred eighty-eight".