1032414320 has 120 divisors (see below), whose sum is σ = 2820471264. Its totient is φ = 350396928.

The previous prime is 1032414287. The next prime is 1032414373. The reversal of 1032414320 is 234142301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1032414292 and 1032414301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402482 + ... + 405038.

Almost surely, 2^1032414320 is an apocalyptic number.

1032414320 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 1032414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410235632).

1032414320 is an abundant number, since it is smaller than the sum of its proper divisors (1788056944).

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

1032414320 is a wasteful number, since it uses less digits than its factorization.

1032414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2674 counting only the distinct ones).

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

The square root of 1032414320 is about 32131.2047704408. The cubic root of 1032414320 is about 1010.6900881351.

Adding to 1032414320 its reverse (234142301), we get a palindrome (1266556621).

The spelling of 1032414320 in words is "one billion, thirty-two million, four hundred fourteen thousand, three hundred twenty".