88165890 has 96 divisors (see below), whose sum is σ = 246654720. Its totient is φ = 21779712.

The previous prime is 88165873. The next prime is 88165907. The reversal of 88165890 is 9856188.

It is an interprime number because it is at equal distance from previous prime (88165873) and next prime (88165907).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79822 + ... + 80918.

It is an arithmetic number, because the mean of its divisors is an integer number (2569320).

Almost surely, 2^88165890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88165890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123327360).

88165890 is an abundant number, since it is smaller than the sum of its proper divisors (158488830).

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

88165890 is a wasteful number, since it uses less digits than its factorization.

88165890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 88165890 is about 9389.6693232510. The cubic root of 88165890 is about 445.0753396827.

It can be divided in two parts, 8816 and 5890, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 88165890 in words is "eighty-eight million, one hundred sixty-five thousand, eight hundred ninety".