1082191968 has 384 divisors, whose sum is σ = 3911846400. Its totient is φ = 286156800.

The previous prime is 1082191961. The next prime is 1082191969. The reversal of 1082191968 is 8691912801.

It is a super-2 number, since 2×1082191968² = 2342278911207426048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082191961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2347258 + ... + 2347718.

It is an arithmetic number, because the mean of its divisors is an integer number (10187100).

Almost surely, 2^1082191968 is an apocalyptic number.

1082191968 is a gapful number since it is divisible by the number (18) 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 1082191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955923200).

1082191968 is an abundant number, since it is smaller than the sum of its proper divisors (2829654432).

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

1082191968 is a wasteful number, since it uses less digits than its factorization.

1082191968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1082191968 is about 32896.6862768881. The cubic root of 1082191968 is about 1026.6792123802.

The spelling of 1082191968 in words is "one billion, eighty-two million, one hundred ninety-one thousand, nine hundred sixty-eight".