671516640 has 72 divisors (see below), whose sum is σ = 2291555448. Its totient is φ = 179070720.

The previous prime is 671516617. The next prime is 671516653. The reversal of 671516640 is 46615176.

671516640 is a `hidden beast` number, since 6 + 7 + 1 + 5 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 671516595 and 671516604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231726 + ... + 234605.

It is an arithmetic number, because the mean of its divisors is an integer number (31827159).

Almost surely, 2^671516640 is an apocalyptic number.

671516640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

671516640 is an abundant number, since it is smaller than the sum of its proper divisors (1620038808).

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

671516640 is a wasteful number, since it uses less digits than its factorization.

671516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466352 (or 466341 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 671516640 is about 25913.6381081468. The cubic root of 671516640 is about 875.6937692353.

The spelling of 671516640 in words is "six hundred seventy-one million, five hundred sixteen thousand, six hundred forty".