1768145890 has 96 divisors (see below), whose sum is σ = 3922603200. Its totient is φ = 570568320.

The previous prime is 1768145881. The next prime is 1768145893. The reversal of 1768145890 is 985418671.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1768145893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1665960 + ... + 1667020.

It is an arithmetic number, because the mean of its divisors is an integer number (40860450).

Almost surely, 2^1768145890 is an apocalyptic number.

1768145890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1768145890 is an abundant number, since it is smaller than the sum of its proper divisors (2154457310).

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

1768145890 is a wasteful number, since it uses less digits than its factorization.

1768145890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The square root of 1768145890 is about 42049.3268673828. The cubic root of 1768145890 is about 1209.2219778168.

The spelling of 1768145890 in words is "one billion, seven hundred sixty-eight million, one hundred forty-five thousand, eight hundred ninety".