1005788160 has 528 divisors, whose sum is σ = 3969935424. Its totient is φ = 233570304.

The previous prime is 1005788141. The next prime is 1005788167. The reversal of 1005788160 is 618875001.

1005788160 is a `hidden beast` number, since 1 + 0 + 0 + 578 + 81 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005788167) 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, 13777884 + ... + 13777956.

Almost surely, 2^1005788160 is an apocalyptic number.

1005788160 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 1005788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984967712).

1005788160 is an abundant number, since it is smaller than the sum of its proper divisors (2964147264).

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

1005788160 is a wasteful number, since it uses less digits than its factorization.

1005788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

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

The square root of 1005788160 is about 31714.1633974475. The cubic root of 1005788160 is about 1001.9256760581.

The spelling of 1005788160 in words is "one billion, five million, seven hundred eighty-eight thousand, one hundred sixty".