1005961800 has 192 divisors, whose sum is σ = 3209169600. Its totient is φ = 260582400.

The previous prime is 1005961771. The next prime is 1005961829. The reversal of 1005961800 is 81695001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005961771) and next prime (1005961829).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5557710 + ... + 5557890.

It is an arithmetic number, because the mean of its divisors is an integer number (16714425).

Almost surely, 2^1005961800 is an apocalyptic number.

1005961800 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 1005961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604584800).

1005961800 is an abundant number, since it is smaller than the sum of its proper divisors (2203207800).

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

1005961800 is a wasteful number, since it uses less digits than its factorization.

1005961800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1005961800 is about 31716.9008574293. The cubic root of 1005961800 is about 1001.9833304664.

The spelling of 1005961800 in words is "one billion, five million, nine hundred sixty-one thousand, eight hundred".