672098400 has 432 divisors, whose sum is σ = 2650611600. Its totient is φ = 159805440.

The previous prime is 672098369. The next prime is 672098407. The reversal of 672098400 is 4890276.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672098407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35373591 + ... + 35373609.

It is an arithmetic number, because the mean of its divisors is an integer number (6135675).

Almost surely, 2^672098400 is an apocalyptic number.

672098400 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 672098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325305800).

672098400 is an abundant number, since it is smaller than the sum of its proper divisors (1978513200).

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

672098400 is a wasteful number, since it uses less digits than its factorization.

672098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 672098400 is about 25924.8606553632. The cubic root of 672098400 is about 875.9465783398.

The spelling of 672098400 in words is "six hundred seventy-two million, ninety-eight thousand, four hundred".