1768469920 has 96 divisors (see below), whose sum is σ = 4812853248. Its totient is φ = 601509888.

The previous prime is 1768469887. The next prime is 1768469959. The reversal of 1768469920 is 299648671.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136024 + ... + 148456.

It is an arithmetic number, because the mean of its divisors is an integer number (50133888).

Almost surely, 2^1768469920 is an apocalyptic number.

1768469920 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 1768469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406426624).

1768469920 is an abundant number, since it is smaller than the sum of its proper divisors (3044383328).

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

1768469920 is a wasteful number, since it uses less digits than its factorization.

1768469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 1768469920 is about 42053.1796657518. The cubic root of 1768469920 is about 1209.2958405501.

The spelling of 1768469920 in words is "one billion, seven hundred sixty-eight million, four hundred sixty-nine thousand, nine hundred twenty".