1086704640 has 352 divisors, whose sum is σ = 4417589760. Its totient is φ = 248168448.

The previous prime is 1086704627. The next prime is 1086704653. The reversal of 1086704640 is 464076801.

1086704640 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 7 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1086704627) and next prime (1086704653).

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 = 1086704595 and 1086704604.

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, 967119 + ... + 968241.

Almost surely, 2^1086704640 is an apocalyptic number.

1086704640 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 1086704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208794880).

1086704640 is an abundant number, since it is smaller than the sum of its proper divisors (3330885120).

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

1086704640 is a wasteful number, since it uses less digits than its factorization.

1086704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1086704640 is about 32965.2034727529. The cubic root of 1086704640 is about 1028.1042958171.

The spelling of 1086704640 in words is "one billion, eighty-six million, seven hundred four thousand, six hundred forty".