861493248 has 288 divisors, whose sum is σ = 3107220480. Its totient is φ = 223395840.

The previous prime is 861493223. The next prime is 861493253. The reversal of 861493248 is 842394168.

It is a happy number.

861493248 is a `hidden beast` number, since 8 + 614 + 9 + 3 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1418961 + ... + 1419567.

It is an arithmetic number, because the mean of its divisors is an integer number (10788960).

Almost surely, 2^861493248 is an apocalyptic number.

861493248 is a gapful number since it is divisible by the number (88) 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 861493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553610240).

861493248 is an abundant number, since it is smaller than the sum of its proper divisors (2245727232).

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

861493248 is a wasteful number, since it uses less digits than its factorization.

861493248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 630 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 861493248 is about 29351.2052222732. The cubic root of 861493248 is about 951.5186230037.

The spelling of 861493248 in words is "eight hundred sixty-one million, four hundred ninety-three thousand, two hundred forty-eight".