1008516432 has 240 divisors, whose sum is σ = 3502222272. Its totient is φ = 246435840.

The previous prime is 1008516427. The next prime is 1008516433. The reversal of 1008516432 is 2346158001.

1008516432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1008516432² = 2034210787228021248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1008516432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008516433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438678 + ... + 440970.

Almost surely, 2^1008516432 is an apocalyptic number.

1008516432 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 1008516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751111136).

1008516432 is an abundant number, since it is smaller than the sum of its proper divisors (2493705840).

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

1008516432 is a wasteful number, since it uses less digits than its factorization.

1008516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1008516432 is about 31757.1477308653. The cubic root of 1008516432 is about 1002.8307897348.

The spelling of 1008516432 in words is "one billion, eight million, five hundred sixteen thousand, four hundred thirty-two".