1032000264 has 80 divisors (see below), whose sum is σ = 2990285100. Its totient is φ = 332131968.

The previous prime is 1032000253. The next prime is 1032000287. The reversal of 1032000264 is 4620002301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1027715364 + 4284900 = 32058^2 + 2070^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8667 + ... + 46250.

Almost surely, 2^1032000264 is an apocalyptic number.

It is an amenable number.

1032000264 is an abundant number, since it is smaller than the sum of its proper divisors (1958284836).

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

1032000264 is a wasteful number, since it uses less digits than its factorization.

1032000264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54964 (or 54951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1032000264 is about 32124.7609173983. The cubic root of 1032000264 is about 1010.5549556131.

Adding to 1032000264 its reverse (4620002301), we get a palindrome (5652002565).

The spelling of 1032000264 in words is "one billion, thirty-two million, two hundred sixty-four", and thus it is an aban number.