1007268432 has 80 divisors (see below), whose sum is σ = 2760299520. Its totient is φ = 315619200.

The previous prime is 1007268401. The next prime is 1007268433. The reversal of 1007268432 is 2348627001.

It is a junction number, because it is equal to n+sod(n) for n = 1007268393 and 1007268402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007268433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115257 + ... + 123687.

It is an arithmetic number, because the mean of its divisors is an integer number (34503744).

Almost surely, 2^1007268432 is an apocalyptic number.

1007268432 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 1007268432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380149760).

1007268432 is an abundant number, since it is smaller than the sum of its proper divisors (1753031088).

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

1007268432 is a wasteful number, since it uses less digits than its factorization.

1007268432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1007268432 is about 31737.4925285537. The cubic root of 1007268432 is about 1002.4169642441.

The spelling of 1007268432 in words is "one billion, seven million, two hundred sixty-eight thousand, four hundred thirty-two".