671807520 has 288 divisors, whose sum is σ = 2446936128. Its totient is φ = 173933568.

The previous prime is 671807501. The next prime is 671807531. The reversal of 671807520 is 25708176.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1438327 + ... + 1438793.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^671807520 is an apocalyptic number.

671807520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

671807520 is the 12960-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223468064).

671807520 is an abundant number, since it is smaller than the sum of its proper divisors (1775128608).

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

671807520 is a wasteful number, since it uses less digits than its factorization.

671807520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 671807520 is about 25919.2499891490. The cubic root of 671807520 is about 875.8201920311.

The spelling of 671807520 in words is "six hundred seventy-one million, eight hundred seven thousand, five hundred twenty".