1032401160 has 512 divisors, whose sum is σ = 4323456000. Its totient is φ = 213663744.

The previous prime is 1032401159. The next prime is 1032401179. The reversal of 1032401160 is 611042301.

1032401160 = 2³ + 3³ + ... + 253³.

It is a happy number.

1032401160 is a `hidden beast` number, since 103 + 2 + 401 + 160 = 666.

It is a Cunningham number, because it is equal to 32131²-1.

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 127 ways as a sum of consecutive naturals, for example, 3726942 + ... + 3727218.

It is an arithmetic number, because the mean of its divisors is an integer number (8444250).

Almost surely, 2^1032401160 is an apocalyptic number.

1032401160 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 1032401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161728000).

1032401160 is an abundant number, since it is smaller than the sum of its proper divisors (3291054840).

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

1032401160 is a wasteful number, since it uses less digits than its factorization.

1032401160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

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

The square root of 1032401160 is about 32130.9999844387. Note that the first 4 decimals coincide. The cubic root of 1032401160 is about 1010.6857937551.

Adding to 1032401160 its reverse (611042301), we get a palindrome (1643443461).

The spelling of 1032401160 in words is "one billion, thirty-two million, four hundred one thousand, one hundred sixty".