1670900880 has 320 divisors, whose sum is σ = 5939619840. Its totient is φ = 384921600.

The previous prime is 1670900857. The next prime is 1670900893. The reversal of 1670900880 is 880090761.

1670900880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4654141 + ... + 4654499.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^1670900880 is an apocalyptic number.

1670900880 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 1670900880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

1670900880 is an abundant number, since it is smaller than the sum of its proper divisors (4268718960).

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

1670900880 is a wasteful number, since it uses less digits than its factorization.

1670900880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1670900880 is about 40876.6544619297. The cubic root of 1670900880 is about 1186.6342954319.

The spelling of 1670900880 in words is "one billion, six hundred seventy million, nine hundred thousand, eight hundred eighty".