1968505890 has 64 divisors (see below), whose sum is σ = 5251986432. Its totient is φ = 468921600.

The previous prime is 1968505843. The next prime is 1968505919. The reversal of 1968505890 is 985058691.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69321 + ... + 93500.

It is an arithmetic number, because the mean of its divisors is an integer number (82062288).

Almost surely, 2^1968505890 is an apocalyptic number.

1968505890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1968505890 is an abundant number, since it is smaller than the sum of its proper divisors (3283480542).

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

1968505890 is a wasteful number, since it uses less digits than its factorization.

1968505890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162875.

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 1968505890 is about 44367.8474799037. The cubic root of 1968505890 is about 1253.2726807044.

The spelling of 1968505890 in words is "one billion, nine hundred sixty-eight million, five hundred five thousand, eight hundred ninety".