1086359040 has 600 divisors, whose sum is σ = 4349239488. Its totient is φ = 258785280.

The previous prime is 1086359033. The next prime is 1086359047. The reversal of 1086359040 is 409536801.

1086359040 is a `hidden beast` number, since 1 + 0 + 8 + 63 + 590 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1086359033) and next prime (1086359047).

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 = 1086358986 and 1086359004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086359047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043825 + ... + 35043855.

Almost surely, 2^1086359040 is an apocalyptic number.

1086359040 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 1086359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174619744).

1086359040 is an abundant number, since it is smaller than the sum of its proper divisors (3262880448).

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

1086359040 is an equidigital number, since it uses as much as digits as its factorization.

1086359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1086359040 is about 32959.9611650257. The cubic root of 1086359040 is about 1027.9952963998.

The spelling of 1086359040 in words is "one billion, eighty-six million, three hundred fifty-nine thousand, forty".