671265000 has 240 divisors, whose sum is σ = 2597543520. Its totient is φ = 153360000.

The previous prime is 671264999. The next prime is 671265019. The reversal of 671265000 is 562176.

671265000 is a `hidden beast` number, since 6 + 7 + 1 + 2 + 650 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 313935 + ... + 316065.

It is an arithmetic number, because the mean of its divisors is an integer number (10823098).

Almost surely, 2^671265000 is an apocalyptic number.

671265000 is a gapful number since it is divisible by the number (60) 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 671265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298771760).

671265000 is an abundant number, since it is smaller than the sum of its proper divisors (1926278520).

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

671265000 is a wasteful number, since it uses less digits than its factorization.

671265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 671265000 is about 25908.7822948127. The cubic root of 671265000 is about 875.5843715435.

The spelling of 671265000 in words is "six hundred seventy-one million, two hundred sixty-five thousand".