88622820 has 216 divisors, whose sum is σ = 319228728. Its totient is φ = 19768320.

The previous prime is 88622801. The next prime is 88622827. The reversal of 88622820 is 2822688.

88622820 is a `hidden beast` number, since 8 + 8 + 622 + 8 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 84162276 = 2112^2 + 9174^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88622827) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 282984 + ... + 283296.

Almost surely, 2^88622820 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 88622820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159614364).

88622820 is an abundant number, since it is smaller than the sum of its proper divisors (230605908).

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

88622820 is a wasteful number, since it uses less digits than its factorization.

88622820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88622820 is about 9413.9694072161. The cubic root of 88622820 is about 445.8429001548.

The spelling of 88622820 in words is "eighty-eight million, six hundred twenty-two thousand, eight hundred twenty".