1005734160 has 120 divisors (see below), whose sum is σ = 3403692864. Its totient is φ = 266123520.

The previous prime is 1005734143. The next prime is 1005734183. The reversal of 1005734160 is 614375001.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88989 + ... + 99651.

Almost surely, 2^1005734160 is an apocalyptic number.

1005734160 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 1005734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701846432).

1005734160 is an abundant number, since it is smaller than the sum of its proper divisors (2397958704).

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

1005734160 is a wasteful number, since it uses less digits than its factorization.

1005734160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1005734160 is about 31713.3120313852. The cubic root of 1005734160 is about 1001.9077448618.

The spelling of 1005734160 in words is "one billion, five million, seven hundred thirty-four thousand, one hundred sixty".