1005963840 has 224 divisors, whose sum is σ = 4056034560. Its totient is φ = 229920768.

The previous prime is 1005963809. The next prime is 1005963853. The reversal of 1005963840 is 483695001.

1005963840 is a `hidden beast` number, since 10 + 0 + 5 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1005963795 and 1005963804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52164 + ... + 68796.

Almost surely, 2^1005963840 is an apocalyptic number.

1005963840 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 1005963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028017280).

1005963840 is an abundant number, since it is smaller than the sum of its proper divisors (3050070720).

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

1005963840 is a wasteful number, since it uses less digits than its factorization.

1005963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1005963840 is about 31716.9330169233. The cubic root of 1005963840 is about 1001.9840077766.

The spelling of 1005963840 in words is "one billion, five million, nine hundred sixty-three thousand, eight hundred forty".