1082618880 has 176 divisors, whose sum is σ = 3957751680. Its totient is φ = 247431168.

The previous prime is 1082618851. The next prime is 1082618909. The reversal of 1082618880 is 888162801.

It is an interprime number because it is at equal distance from previous prime (1082618851) and next prime (1082618909).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102486 + ... + 112554.

Almost surely, 2^1082618880 is an apocalyptic number.

1082618880 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 1082618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978875840).

1082618880 is an abundant number, since it is smaller than the sum of its proper divisors (2875132800).

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

1082618880 is a wasteful number, since it uses less digits than its factorization.

1082618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The square root of 1082618880 is about 32903.1743149502. The cubic root of 1082618880 is about 1026.8141989219.

The spelling of 1082618880 in words is "one billion, eighty-two million, six hundred eighteen thousand, eight hundred eighty".