1053536 has 48 divisors (see below), whose sum is σ = 2349648. Its totient is φ = 460800.

The previous prime is 1053529. The next prime is 1053539. The reversal of 1053536 is 6353501.

It is a super-2 number, since 2×1053536² = 2219876206592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14396 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (48951).

2^1053536 is an apocalyptic number.

1053536 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 1053536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174824).

1053536 is an abundant number, since it is smaller than the sum of its proper divisors (1296112).

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

1053536 is a wasteful number, since it uses less digits than its factorization.

1053536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 1053536 is about 1026.4190177505. The cubic root of 1053536 is about 101.7536023693.

The spelling of 1053536 in words is "one million, fifty-three thousand, five hundred thirty-six".