88881408 has 288 divisors, whose sum is σ = 329656320. Its totient is φ = 22947840.

The previous prime is 88881379. The next prime is 88881409. The reversal of 88881408 is 80418888.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (88881409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532141 + ... + 532307.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^88881408 is an apocalyptic number.

88881408 is a gapful number since it is divisible by the number (88) 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 88881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

88881408 is an abundant number, since it is smaller than the sum of its proper divisors (240774912).

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

88881408 is a wasteful number, since it uses less digits than its factorization.

88881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 88881408 is about 9427.6936734283. The cubic root of 88881408 is about 446.2761131531.

It can be divided in two parts, 8888 and 1408, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 88881408 in words is "eighty-eight million, eight hundred eighty-one thousand, four hundred eight".