671162400 has 324 divisors, whose sum is σ = 2470705146. Its totient is φ = 171417600.

The previous prime is 671162381. The next prime is 671162407. The reversal of 671162400 is 4261176.

It can be written as a sum of positive squares in 3 ways, for example, as 481714704 + 189447696 = 21948^2 + 13764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671162407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6919152 + ... + 6919248.

Almost surely, 2^671162400 is an apocalyptic number.

671162400 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 671162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235352573).

671162400 is an abundant number, since it is smaller than the sum of its proper divisors (1799542746).

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

671162400 is a wasteful number, since it uses less digits than its factorization.

671162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 671162400 is about 25906.8021955625. The cubic root of 671162400 is about 875.5397594882.

The spelling of 671162400 in words is "six hundred seventy-one million, one hundred sixty-two thousand, four hundred".