671084400 has 360 divisors, whose sum is σ = 2547787824. Its totient is φ = 150528000.

The previous prime is 671084399. The next prime is 671084431. The reversal of 671084400 is 4480176.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5938744 + ... + 5938856.

Almost surely, 2^671084400 is an apocalyptic number.

671084400 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 671084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273893912).

671084400 is an abundant number, since it is smaller than the sum of its proper divisors (1876703424).

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

671084400 is a wasteful number, since it uses less digits than its factorization.

671084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 671084400 is about 25905.2967556830. The cubic root of 671084400 is about 875.5058408485.

The spelling of 671084400 in words is "six hundred seventy-one million, eighty-four thousand, four hundred".