1005160920 has 64 divisors (see below), whose sum is σ = 3089046240. Its totient is φ = 261504000.

The previous prime is 1005160883. The next prime is 1005160939. The reversal of 1005160920 is 290615001.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 97231 + ... + 107070.

Almost surely, 2^1005160920 is an apocalyptic number.

1005160920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005160920 is an abundant number, since it is smaller than the sum of its proper divisors (2083885320).

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

1005160920 is a wasteful number, since it uses less digits than its factorization.

1005160920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204356 (or 204352 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1005160920 is about 31704.2728981442. The cubic root of 1005160920 is about 1001.7173556678.

Adding to 1005160920 its reverse (290615001), we get a palindrome (1295775921).

The spelling of 1005160920 in words is "one billion, five million, one hundred sixty thousand, nine hundred twenty".