1768406145 has 32 divisors (see below), whose sum is σ = 3088917504. Its totient is φ = 856785600.

The previous prime is 1768406141. The next prime is 1768406153. The reversal of 1768406145 is 5416048671.

It is not a de Polignac number, because 1768406145 - 2² = 1768406141 is a prime.

It is a super-2 number, since 2×1768406145² = 6254520587347522050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1768406097 and 1768406106.

It is not an unprimeable number, because it can be changed into a prime (1768406141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291190 + ... + 297200.

It is an arithmetic number, because the mean of its divisors is an integer number (96528672).

Almost surely, 2^1768406145 is an apocalyptic number.

1768406145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1768406145 is a deficient number, since it is larger than the sum of its proper divisors (1320511359).

1768406145 is a wasteful number, since it uses less digits than its factorization.

1768406145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1768406145 is about 42052.4213928283. The cubic root of 1768406145 is about 1209.2813037333.

The spelling of 1768406145 in words is "one billion, seven hundred sixty-eight million, four hundred six thousand, one hundred forty-five".