1000968192 has 260 divisors, whose sum is σ = 3425279616. Its totient is φ = 285327360.

The previous prime is 1000968181. The next prime is 1000968193. The reversal of 1000968192 is 2918690001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000968193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322217 + ... + 2322647.

Almost surely, 2^1000968192 is an apocalyptic number.

1000968192 is a gapful number since it is divisible by the number (12) 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 1000968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712639808).

1000968192 is an abundant number, since it is smaller than the sum of its proper divisors (2424311424).

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

1000968192 is an frugal number, since it uses more digits than its factorization.

1000968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1000968192 is about 31638.0813577562. The cubic root of 1000968192 is about 1000.3226265676.

The spelling of 1000968192 in words is "one billion, nine hundred sixty-eight thousand, one hundred ninety-two".