1082406864 has 480 divisors, whose sum is σ = 3957175296. Its totient is φ = 250736640.

The previous prime is 1082406833. The next prime is 1082406883. The reversal of 1082406864 is 4686042801.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10115899 + ... + 10116005.

Almost surely, 2^1082406864 is an apocalyptic number.

1082406864 is a gapful number since it is divisible by the number (14) 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 1082406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978587648).

1082406864 is an abundant number, since it is smaller than the sum of its proper divisors (2874768432).

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

1082406864 is a wasteful number, since it uses less digits than its factorization.

1082406864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1082406864 is about 32899.9523403910. The cubic root of 1082406864 is about 1026.7471654053.

The spelling of 1082406864 in words is "one billion, eighty-two million, four hundred six thousand, eight hundred sixty-four".