1057536 has 108 divisors (see below), whose sum is σ = 3348072. Its totient is φ = 331776.

The previous prime is 1057531. The next prime is 1057541. The reversal of 1057536 is 6357501.

It is an interprime number because it is at equal distance from previous prime (1057531) and next prime (1057541).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1057536² = 2236764782592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1057531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62200 + ... + 62216.

2^1057536 is an apocalyptic number.

1057536 is a gapful number since it is divisible by the number (16) 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 1057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674036).

1057536 is an abundant number, since it is smaller than the sum of its proper divisors (2290536).

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

1057536 is an frugal number, since it uses more digits than its factorization.

1057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1057536 is about 1028.3656937102. The cubic root of 1057536 is about 101.8822169853.

The spelling of 1057536 in words is "one million, fifty-seven thousand, five hundred thirty-six".