88611820 has 192 divisors, whose sum is σ = 239500800. Its totient is φ = 27095040.

The previous prime is 88611799. The next prime is 88611829. The reversal of 88611820 is 2811688.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (88611829) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2060719 + ... + 2060761.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^88611820 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 88611820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

88611820 is an abundant number, since it is smaller than the sum of its proper divisors (150888980).

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

88611820 is a wasteful number, since it uses less digits than its factorization.

88611820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 88611820 is about 9413.3851509433. The cubic root of 88611820 is about 445.8244531572.

The spelling of 88611820 in words is "eighty-eight million, six hundred eleven thousand, eight hundred twenty".