1032640400 has 120 divisors (see below), whose sum is σ = 2780042304. Its totient is φ = 365299200.

The previous prime is 1032640379. The next prime is 1032640403. The reversal of 1032640400 is 40462301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1032640403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159629 + ... + 165971.

Almost surely, 2^1032640400 is an apocalyptic number.

1032640400 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 1032640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390021152).

1032640400 is an abundant number, since it is smaller than the sum of its proper divisors (1747401904).

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

1032640400 is a wasteful number, since it uses less digits than its factorization.

1032640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1032640400 is about 32134.7226532298. The cubic root of 1032640400 is about 1010.7638570132.

The spelling of 1032640400 in words is "one billion, thirty-two million, six hundred forty thousand, four hundred".