1005632880 has 120 divisors (see below), whose sum is σ = 3626477712. Its totient is φ = 229856256.

The previous prime is 1005632867. The next prime is 1005632899. The reversal of 1005632880 is 882365001.

It is a happy number.

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

It is a super-2 number, since 2×1005632880² = 2022594978674188800, which contains 22 as substring.

It is a congruent number.

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, 30997 + ... + 54516.

Almost surely, 2^1005632880 is an apocalyptic number.

1005632880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005632880 is an abundant number, since it is smaller than the sum of its proper divisors (2620844832).

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

1005632880 is a wasteful number, since it uses less digits than its factorization.

1005632880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85543 (or 85530 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1005632880 is about 31711.7151854011. The cubic root of 1005632880 is about 1001.8741121761.

Adding to 1005632880 its reverse (882365001), we get a palindrome (1887997881).

The spelling of 1005632880 in words is "one billion, five million, six hundred thirty-two thousand, eight hundred eighty".