1032116400 has 270 divisors, whose sum is σ = 4167215052. Its totient is φ = 235872000.

The previous prime is 1032116389. The next prime is 1032116419. The reversal of 1032116400 is 46112301.

It is a happy number.

1032116400 is a `hidden beast` number, since 1 + 0 + 3 + 21 + 1 + 640 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 173475 + ... + 179325.

Almost surely, 2^1032116400 is an apocalyptic number.

1032116400 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 1032116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083607526).

1032116400 is an abundant number, since it is smaller than the sum of its proper divisors (3135098652).

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

1032116400 is a wasteful number, since it uses less digits than its factorization.

1032116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1032116400 is about 32126.5684442021. The cubic root of 1032116400 is about 1010.5928617429.

Adding to 1032116400 its reverse (46112301), we get a palindrome (1078228701).

The spelling of 1032116400 in words is "one billion, thirty-two million, one hundred sixteen thousand, four hundred".