1016334432 has 96 divisors (see below), whose sum is σ = 2997842400. Its totient is φ = 334946304.

The previous prime is 1016334427. The next prime is 1016334433. The reversal of 1016334432 is 2344336101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1016334396 and 1016334405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016334433) 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, 70288 + ... + 83504.

It is an arithmetic number, because the mean of its divisors is an integer number (31227525).

Almost surely, 2^1016334432 is an apocalyptic number.

1016334432 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 1016334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498921200).

1016334432 is an abundant number, since it is smaller than the sum of its proper divisors (1981507968).

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

1016334432 is a wasteful number, since it uses less digits than its factorization.

1016334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13325 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1016334432 is about 31880.0005018821. Note that the first 3 decimals coincide. The cubic root of 1016334432 is about 1005.4154308363.

The spelling of 1016334432 in words is "one billion, sixteen million, three hundred thirty-four thousand, four hundred thirty-two".