88286520 has 128 divisors (see below), whose sum is σ = 307837440. Its totient is φ = 19837440.

The previous prime is 88286509. The next prime is 88286557. The reversal of 88286520 is 2568288.

It is a super-2 number, since 2×88286520² = 15589019227420800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 50379 + ... + 52101.

It is an arithmetic number, because the mean of its divisors is an integer number (2404980).

Almost surely, 2^88286520 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 88286520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153918720).

88286520 is an abundant number, since it is smaller than the sum of its proper divisors (219550920).

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

88286520 is a wasteful number, since it uses less digits than its factorization.

88286520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 88286520 is about 9396.0906764462. The cubic root of 88286520 is about 445.2782336083.

The spelling of 88286520 in words is "eighty-eight million, two hundred eighty-six thousand, five hundred twenty".