1005563760 has 40 divisors (see below), whose sum is σ = 3117248400. Its totient is φ = 268150272.

The previous prime is 1005563759. The next prime is 1005563791. The reversal of 1005563760 is 673655001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1005563760² = 2022316950850675200, 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 7 ways as a sum of consecutive naturals, for example, 2094685 + ... + 2095164.

It is an arithmetic number, because the mean of its divisors is an integer number (77931210).

Almost surely, 2^1005563760 is an apocalyptic number.

1005563760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005563760 is an abundant number, since it is smaller than the sum of its proper divisors (2111684640).

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

1005563760 is a wasteful number, since it uses less digits than its factorization.

1005563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189865 (or 4189859 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 1005563760 is about 31710.6253486115. The cubic root of 1005563760 is about 1001.8511577671.

The spelling of 1005563760 in words is "one billion, five million, five hundred sixty-three thousand, seven hundred sixty".