1068186240 has 384 divisors, whose sum is σ = 4204586880. Its totient is φ = 247357440.

The previous prime is 1068186181. The next prime is 1068186269. The reversal of 1068186240 is 426818601.

1068186240 is a `hidden beast` number, since 10 + 6 + 8 + 18 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1068186240² = 2282043686650675200, which contains 22 as substring.

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 = 1068186195 and 1068186204.

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, 1456914 + ... + 1457646.

It is an arithmetic number, because the mean of its divisors is an integer number (10949445).

Almost surely, 2^1068186240 is an apocalyptic number.

1068186240 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 1068186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102293440).

1068186240 is an abundant number, since it is smaller than the sum of its proper divisors (3136400640).

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

1068186240 is a wasteful number, since it uses less digits than its factorization.

1068186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1068186240 is about 32683.1185782508. The cubic root of 1068186240 is about 1022.2308727126.

The spelling of 1068186240 in words is "one billion, sixty-eight million, one hundred eighty-six thousand, two hundred forty".