1032054120 has 96 divisors (see below), whose sum is σ = 3409234920. Its totient is φ = 270696960.

The previous prime is 1032054113. The next prime is 1032054143. The reversal of 1032054120 is 214502301.

1032054120 is a `hidden beast` number, since 103 + 2 + 0 + 541 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 520661124 + 511392996 = 22818^2 + 22614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032054093 and 1032054102.

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, 1539 + ... + 45458.

Almost surely, 2^1032054120 is an apocalyptic number.

1032054120 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 1032054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704617460).

1032054120 is an abundant number, since it is smaller than the sum of its proper divisors (2377180800).

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

1032054120 is a wasteful number, since it uses less digits than its factorization.

1032054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47075 (or 47068 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1032054120 is about 32125.5991383818. The cubic root of 1032054120 is about 1010.5725342587.

Adding to 1032054120 its reverse (214502301), we get a palindrome (1246556421).

The spelling of 1032054120 in words is "one billion, thirty-two million, fifty-four thousand, one hundred twenty".