1086906240 has 288 divisors, whose sum is σ = 4367127960. Its totient is φ = 248371200.

The previous prime is 1086906209. The next prime is 1086906257. The reversal of 1086906240 is 426096801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1086906195 and 1086906204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280315 + ... + 284165.

Almost surely, 2^1086906240 is an apocalyptic number.

1086906240 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 1086906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183563980).

1086906240 is an abundant number, since it is smaller than the sum of its proper divisors (3280221720).

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

1086906240 is a wasteful number, since it uses less digits than its factorization.

1086906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1086906240 is about 32968.2611006404. The cubic root of 1086906240 is about 1028.1678681386.

The spelling of 1086906240 in words is "one billion, eighty-six million, nine hundred six thousand, two hundred forty".