1055600 has 120 divisors (see below), whose sum is σ = 3228960. Its totient is φ = 322560.

The previous prime is 1055597. The next prime is 1055603. The reversal of 1055600 is 65501.

It is an interprime number because it is at equal distance from previous prime (1055597) and next prime (1055603).

It is a super-2 number, since 2×1055600² = 2228582720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36386 + ... + 36414.

It is an arithmetic number, because the mean of its divisors is an integer number (26908).

2^1055600 is an apocalyptic number.

1055600 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 1055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614480).

1055600 is an abundant number, since it is smaller than the sum of its proper divisors (2173360).

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

1055600 is a wasteful number, since it uses less digits than its factorization.

1055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1055600 is about 1027.4239631233. The cubic root of 1055600 is about 101.8200080841.

Subtracting from 1055600 its reverse (65501), we obtain a palindrome (990099).

The spelling of 1055600 in words is "one million, fifty-five thousand, six hundred".