671652000 has 288 divisors, whose sum is σ = 2475555264. Its totient is φ = 178848000.

The previous prime is 671651993. The next prime is 671652013. The reversal of 671652000 is 256176.

671652000 is a `hidden beast` number, since 6 + 7 + 1 + 652 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×671652000² = 902232818208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 971655 + ... + 972345.

It is an arithmetic number, because the mean of its divisors is an integer number (8595678).

Almost surely, 2^671652000 is an apocalyptic number.

671652000 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 671652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237777632).

671652000 is an abundant number, since it is smaller than the sum of its proper divisors (1803903264).

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

671652000 is an equidigital number, since it uses as much as digits as its factorization.

671652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 701 counting only the distinct ones).

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

The square root of 671652000 is about 25916.2497286934. The cubic root of 671652000 is about 875.7526041859.

The spelling of 671652000 in words is "six hundred seventy-one million, six hundred fifty-two thousand".