88958880 has 144 divisors (see below), whose sum is σ = 306240480. Its totient is φ = 23514624.

The previous prime is 88958879. The next prime is 88958887. The reversal of 88958880 is 8885988.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (88958887) 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, 234531 + ... + 234909.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 2^88958880 is an apocalyptic number.

88958880 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 88958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

88958880 is an abundant number, since it is smaller than the sum of its proper divisors (217281600).

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

88958880 is a wasteful number, since it uses less digits than its factorization.

88958880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The square root of 88958880 is about 9431.8015246293. The cubic root of 88958880 is about 446.4057385473.

The spelling of 88958880 in words is "eighty-eight million, nine hundred fifty-eight thousand, eight hundred eighty".