1034572032 has 162 divisors, whose sum is σ = 3231248202. Its totient is φ = 318210048.

The previous prime is 1034572003. The next prime is 1034572069. The reversal of 1034572032 is 2302754301.

1034572032 is a `hidden beast` number, since 1 + 0 + 3 + 457 + 203 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 1028100096 = 2544^2 + 32064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1034571987 and 1034572005.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 388048 + ... + 390704.

Almost surely, 2^1034572032 is an apocalyptic number.

1034572032 is a gapful number since it is divisible by the number (12) 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 1034572032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615624101).

1034572032 is an abundant number, since it is smaller than the sum of its proper divisors (2196676170).

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

1034572032 is a wasteful number, since it uses less digits than its factorization.

1034572032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1034572032 is about 32164.7638262742. The cubic root of 1034572032 is about 1011.3937012096.

The spelling of 1034572032 in words is "one billion, thirty-four million, five hundred seventy-two thousand, thirty-two".