1032557436 has 96 divisors (see below), whose sum is σ = 2720256000. Its totient is φ = 338675904.

The previous prime is 1032557417. The next prime is 1032557437. The reversal of 1032557436 is 6347552301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1032557436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032557437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2813325 + ... + 2813691.

It is an arithmetic number, because the mean of its divisors is an integer number (28336000).

Almost surely, 2^1032557436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032557436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360128000).

1032557436 is an abundant number, since it is smaller than the sum of its proper divisors (1687698564).

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

1032557436 is a wasteful number, since it uses less digits than its factorization.

1032557436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 1032557436 is about 32133.4317495035. The cubic root of 1032557436 is about 1010.7367874872.

The spelling of 1032557436 in words is "one billion, thirty-two million, five hundred fifty-seven thousand, four hundred thirty-six".