861954048 has 168 divisors, whose sum is σ = 2588120808. Its totient is φ = 286654464.

The previous prime is 861954017. The next prime is 861954059. The reversal of 861954048 is 840459168.

861954048 is a `hidden beast` number, since 8 + 61 + 9 + 540 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 861953994 and 861954012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990440 + ... + 1990872.

It is an arithmetic number, because the mean of its divisors is an integer number (15405481).

Almost surely, 2^861954048 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 861954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294060404).

861954048 is an abundant number, since it is smaller than the sum of its proper divisors (1726166760).

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

861954048 is an frugal number, since it uses more digits than its factorization.

861954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 861954048 is about 29359.0539357112. The cubic root of 861954048 is about 951.6882438454.

The spelling of 861954048 in words is "eight hundred sixty-one million, nine hundred fifty-four thousand, forty-eight".