1681076880 has 240 divisors, whose sum is σ = 6480549504. Its totient is φ = 382556160.

The previous prime is 1681076867. The next prime is 1681076939. The reversal of 1681076880 is 886701861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415647 + ... + 1416833.

Almost surely, 2^1681076880 is an apocalyptic number.

1681076880 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 1681076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240274752).

1681076880 is an abundant number, since it is smaller than the sum of its proper divisors (4799472624).

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

1681076880 is a wasteful number, since it uses less digits than its factorization.

1681076880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1681076880 is about 41000.9375502561. The cubic root of 1681076880 is about 1189.0383398980.

The spelling of 1681076880 in words is "one billion, six hundred eighty-one million, seventy-six thousand, eight hundred eighty".