1007712432 has 180 divisors, whose sum is σ = 3033003792. Its totient is φ = 311731200.

The previous prime is 1007712403. The next prime is 1007712437. The reversal of 1007712432 is 2342177001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1007712396 and 1007712405.

It is not an unprimeable number, because it can be changed into a prime (1007712437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5567382 + ... + 5567562.

Almost surely, 2^1007712432 is an apocalyptic number.

1007712432 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 1007712432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516501896).

1007712432 is an abundant number, since it is smaller than the sum of its proper divisors (2025291360).

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

1007712432 is a wasteful number, since it uses less digits than its factorization.

1007712432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1007712432 is about 31744.4866394150. The cubic root of 1007712432 is about 1002.5642297722.

Adding to 1007712432 its reverse (2342177001), we get a palindrome (3349889433).

The spelling of 1007712432 in words is "one billion, seven million, seven hundred twelve thousand, four hundred thirty-two".