1016327400 has 144 divisors (see below), whose sum is σ = 3463320000. Its totient is φ = 246364800.

The previous prime is 1016327399. The next prime is 1016327413. The reversal of 1016327400 is 47236101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65601 + ... + 79599.

Almost surely, 2^1016327400 is an apocalyptic number.

1016327400 is a gapful number since it is divisible by the number (10) 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 1016327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731660000).

1016327400 is an abundant number, since it is smaller than the sum of its proper divisors (2446992600).

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

1016327400 is a wasteful number, since it uses less digits than its factorization.

1016327400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1016327400 is about 31879.8902131108. The cubic root of 1016327400 is about 1005.4131120137.

The spelling of 1016327400 in words is "one billion, sixteen million, three hundred twenty-seven thousand, four hundred".