88527840 has 192 divisors, whose sum is σ = 311351040. Its totient is φ = 21012480.

The previous prime is 88527839. The next prime is 88527889. The reversal of 88527840 is 4872588.

It is a junction number, because it is equal to n+sod(n) for n = 88527792 and 88527801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154755 + ... + 155325.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^88527840 is an apocalyptic number.

88527840 is a gapful number since it is divisible by the number (80) 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 88527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

88527840 is an abundant number, since it is smaller than the sum of its proper divisors (222823200).

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

88527840 is a wasteful number, since it uses less digits than its factorization.

88527840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 88527840 is about 9408.9234240693. The cubic root of 88527840 is about 445.6835683724.

The spelling of 88527840 in words is "eighty-eight million, five hundred twenty-seven thousand, eight hundred forty".