1078086240 has 576 divisors, whose sum is σ = 4798725120. Its totient is φ = 223534080.

The previous prime is 1078086209. The next prime is 1078086241. The reversal of 1078086240 is 426808701.

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 = 1078086195 and 1078086204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078086241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328249 + ... + 2328711.

It is an arithmetic number, because the mean of its divisors is an integer number (8331120).

Almost surely, 2^1078086240 is an apocalyptic number.

1078086240 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 1078086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399362560).

1078086240 is an abundant number, since it is smaller than the sum of its proper divisors (3720638880).

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

1078086240 is a wasteful number, since it uses less digits than its factorization.

1078086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1078086240 is about 32834.2236089115. The cubic root of 1078086240 is about 1025.3791942246.

It can be divided in two parts, 10780 and 86240, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 1078086240 in words is "one billion, seventy-eight million, eighty-six thousand, two hundred forty".