842661400 has 192 divisors, whose sum is σ = 2392704000. Its totient is φ = 269568000.

The previous prime is 842661367. The next prime is 842661431. The reversal of 842661400 is 4166248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101200 + ... + 2101600.

It is an arithmetic number, because the mean of its divisors is an integer number (12462000).

Almost surely, 2^842661400 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 842661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196352000).

842661400 is an abundant number, since it is smaller than the sum of its proper divisors (1550042600).

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

842661400 is a wasteful number, since it uses less digits than its factorization.

842661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 842661400 is about 29028.6306945402. The cubic root of 842661400 is about 944.5342273226.

The spelling of 842661400 in words is "eight hundred forty-two million, six hundred sixty-one thousand, four hundred".