1082418000 has 160 divisors (see below), whose sum is σ = 3530666880. Its totient is φ = 285260800.

The previous prime is 1082417989. The next prime is 1082418013. The reversal of 1082418000 is 8142801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 532987 + ... + 535013.

It is an arithmetic number, because the mean of its divisors is an integer number (22066668).

Almost surely, 2^1082418000 is an apocalyptic number.

1082418000 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 1082418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765333440).

1082418000 is an abundant number, since it is smaller than the sum of its proper divisors (2448248880).

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

1082418000 is a wasteful number, since it uses less digits than its factorization.

1082418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1082418000 is about 32900.1215803225. The cubic root of 1082418000 is about 1026.7506865141.

The spelling of 1082418000 in words is "one billion, eighty-two million, four hundred eighteen thousand".