641092400 has 240 divisors, whose sum is σ = 1772053248. Its totient is φ = 221184000.

The previous prime is 641092379. The next prime is 641092421. The reversal of 641092400 is 4290146.

It is an interprime number because it is at equal distance from previous prime (641092379) and next prime (641092421).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 641092400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6609152 + ... + 6609248.

Almost surely, 2^641092400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641092400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886026624).

641092400 is an abundant number, since it is smaller than the sum of its proper divisors (1130960848).

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

641092400 is a wasteful number, since it uses less digits than its factorization.

641092400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 641092400 is about 25319.8025268761. The cubic root of 641092400 is about 862.2639107373.

The spelling of 641092400 in words is "six hundred forty-one million, ninety-two thousand, four hundred".