1086867600 has 480 divisors, whose sum is σ = 4417217280. Its totient is φ = 222289920.

The previous prime is 1086867589. The next prime is 1086867619. The reversal of 1086867600 is 67686801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4040266 + ... + 4040534.

It is an arithmetic number, because the mean of its divisors is an integer number (9202536).

Almost surely, 2^1086867600 is an apocalyptic number.

1086867600 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 1086867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208608640).

1086867600 is an abundant number, since it is smaller than the sum of its proper divisors (3330349680).

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

1086867600 is a wasteful number, since it uses less digits than its factorization.

1086867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1086867600 is about 32967.6750772632. The cubic root of 1086867600 is about 1028.1556840527.

The spelling of 1086867600 in words is "one billion, eighty-six million, eight hundred sixty-seven thousand, six hundred".