1068157440 has 480 divisors, whose sum is σ = 4366327680. Its totient is φ = 236224512.

The previous prime is 1068157439. The next prime is 1068157451. The reversal of 1068157440 is 447518601.

It is a happy number.

1068157440 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1068157440² = 2281920633254707200, 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 = 1068157395 and 1068157404.

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, 5967271 + ... + 5967449.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^1068157440 is an apocalyptic number.

1068157440 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 1068157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183163840).

1068157440 is an abundant number, since it is smaller than the sum of its proper divisors (3298170240).

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

1068157440 is a wasteful number, since it uses less digits than its factorization.

1068157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1068157440 is about 32682.6779808510. The cubic root of 1068157440 is about 1022.2216856400.

It can be divided in two parts, 10681 and 57440, that added together give a square (68121 = 261²).

The spelling of 1068157440 in words is "one billion, sixty-eight million, one hundred fifty-seven thousand, four hundred forty".