88050960 has 120 divisors (see below), whose sum is σ = 305973720. Its totient is φ = 22665216.

The previous prime is 88050953. The next prime is 88050961. The reversal of 88050960 is 6905088.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 63489024 = 4956^2 + 7968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88050961) 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 23 ways as a sum of consecutive naturals, for example, 18772 + ... + 22988.

It is an arithmetic number, because the mean of its divisors is an integer number (2549781).

Almost surely, 2^88050960 is an apocalyptic number.

88050960 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 88050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152986860).

88050960 is an abundant number, since it is smaller than the sum of its proper divisors (217922760).

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

88050960 is a wasteful number, since it uses less digits than its factorization.

88050960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 88050960 is about 9383.5473036587. The cubic root of 88050960 is about 444.8818606559.

The spelling of 88050960 in words is "eighty-eight million, fifty thousand, nine hundred sixty".