671198400 has 210 divisors, whose sum is σ = 2467632860. Its totient is φ = 178951680.

The previous prime is 671198377. The next prime is 671198401. The reversal of 671198400 is 4891176.

671198400 is a `hidden beast` number, since 67 + 1 + 198 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (671198401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127011 + ... + 132189.

Almost surely, 2^671198400 is an apocalyptic number.

671198400 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 671198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233816430).

671198400 is an abundant number, since it is smaller than the sum of its proper divisors (1796434460).

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

671198400 is a wasteful number, since it uses less digits than its factorization.

671198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 671198400 is about 25907.4969844638. The cubic root of 671198400 is about 875.5554133587. Note that the first 3 decimals are identical.

It can be divided in two parts, 6711 and 98400, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 671198400 in words is "six hundred seventy-one million, one hundred ninety-eight thousand, four hundred".