861532848 has 200 divisors, whose sum is σ = 2742491136. Its totient is φ = 258940800.

The previous prime is 861532843. The next prime is 861532849. The reversal of 861532848 is 848235168.

861532848 is a `hidden beast` number, since 8 + 615 + 3 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×861532848² = 1484477696365982208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (861532843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3178953 + ... + 3179223.

Almost surely, 2^861532848 is an apocalyptic number.

861532848 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 861532848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371245568).

861532848 is an abundant number, since it is smaller than the sum of its proper divisors (1880958288).

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

861532848 is a wasteful number, since it uses less digits than its factorization.

861532848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 861532848 is about 29351.8798035151. The cubic root of 861532848 is about 951.5332021701.

The spelling of 861532848 in words is "eight hundred sixty-one million, five hundred thirty-two thousand, eight hundred forty-eight".