1086874880 has 432 divisors, whose sum is σ = 3444908544. Its totient is φ = 325140480.

The previous prime is 1086874843. The next prime is 1086874891. The reversal of 1086874880 is 884786801.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25276139 + ... + 25276181.

Almost surely, 2^1086874880 is an apocalyptic number.

1086874880 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 1086874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722454272).

1086874880 is an abundant number, since it is smaller than the sum of its proper divisors (2358033664).

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

1086874880 is a wasteful number, since it uses less digits than its factorization.

1086874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The square root of 1086874880 is about 32967.7854882611. The cubic root of 1086874880 is about 1028.1579796272.

The spelling of 1086874880 in words is "one billion, eighty-six million, eight hundred seventy-four thousand, eight hundred eighty".