86882848 has 48 divisors (see below), whose sum is σ = 186797016. Its totient is φ = 39536640.

The previous prime is 86882821. The next prime is 86882879. The reversal of 86882848 is 84828868.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65092624 + 21790224 = 8068^2 + 4668^2 .

It is a super-2 number, since 2×86882848² = 15097258553182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 86882795 and 86882804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28938 + ... + 31798.

Almost surely, 2^86882848 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 86882848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93398508).

86882848 is an abundant number, since it is smaller than the sum of its proper divisors (99914168).

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

86882848 is a wasteful number, since it uses less digits than its factorization.

86882848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2949 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 52.

The square root of 86882848 is about 9321.0969311557. The cubic root of 86882848 is about 442.9057816060.

The spelling of 86882848 in words is "eighty-six million, eight hundred eighty-two thousand, eight hundred forty-eight".