1005878016 has 432 divisors, whose sum is σ = 3535564032. Its totient is φ = 270950400.

The previous prime is 1005877931. The next prime is 1005878057. The reversal of 1005878016 is 6108785001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14167261 + ... + 14167331.

It is an arithmetic number, because the mean of its divisors is an integer number (8184176).

Almost surely, 2^1005878016 is an apocalyptic number.

1005878016 is a gapful number since it is divisible by the number (16) 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 1005878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767782016).

1005878016 is an abundant number, since it is smaller than the sum of its proper divisors (2529686016).

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

1005878016 is a wasteful number, since it uses less digits than its factorization.

1005878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1005878016 is about 31715.5800199208. The cubic root of 1005878016 is about 1001.9555121463.

The spelling of 1005878016 in words is "one billion, five million, eight hundred seventy-eight thousand, sixteen".