1055264 has 36 divisors (see below), whose sum is σ = 2420334. Its totient is φ = 451584.

The previous prime is 1055261. The next prime is 1055267. The reversal of 1055264 is 4625501.

1055264 = T₉₅ + T₉₆ + ... + T₁₉₂.

It is an interprime number because it is at equal distance from previous prime (1055261) and next prime (1055267).

It can be written as a sum of positive squares in only one way, i.e., 960400 + 94864 = 980^2 + 308^2 .

It is a super-2 number, since 2×1055264² = 2227164219392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1232 + ... + 1904.

2^1055264 is an apocalyptic number.

1055264 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 1055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210167).

1055264 is an abundant number, since it is smaller than the sum of its proper divisors (1365070).

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

1055264 is an equidigital number, since it uses as much as digits as its factorization.

1055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1055264 is about 1027.2604343593. The cubic root of 1055264 is about 101.8092037538.

The spelling of 1055264 in words is "one million, fifty-five thousand, two hundred sixty-four".