1032401024 has 64 divisors (see below), whose sum is σ = 2292429600. Its totient is φ = 460247040.

The previous prime is 1032401011. The next prime is 1032401089. The reversal of 1032401024 is 4201042301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1032400993 and 1032401011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28859 + ... + 53829.

Almost surely, 2^1032401024 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 1032401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146214800).

1032401024 is an abundant number, since it is smaller than the sum of its proper divisors (1260028576).

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

1032401024 is a wasteful number, since it uses less digits than its factorization.

1032401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25021 (or 25009 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1032401024 is about 32130.9978681024. The cubic root of 1032401024 is about 1010.6857493753.

Adding to 1032401024 its reverse (4201042301), we get a palindrome (5233443325).

The spelling of 1032401024 in words is "one billion, thirty-two million, four hundred one thousand, twenty-four".