1051600 has 60 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 380800.

The previous prime is 1051591. The next prime is 1051601. The reversal of 1051600 is 61501.

It is a super-2 number, since 2×1051600² = 2211725120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051601) 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 11 ways as a sum of consecutive naturals, for example, 4281 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2^1051600 is an apocalyptic number.

1051600 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 1051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

1051600 is an abundant number, since it is smaller than the sum of its proper divisors (1716080).

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

1051600 is a wasteful number, since it uses less digits than its factorization.

1051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1051600 is about 1025.4754994635. The cubic root of 1051600 is about 101.6912359623.

Subtracting from 1051600 its reverse (61501), we obtain a palindrome (990099).

The spelling of 1051600 in words is "one million, fifty-one thousand, six hundred".