88041408 has 112 divisors (see below), whose sum is σ = 286755840. Its totient is φ = 23215104.

The previous prime is 88041379. The next prime is 88041409. The reversal of 88041408 is 80414088.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×88041408³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88041409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14953 + ... + 19991.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^88041408 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 88041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

88041408 is an abundant number, since it is smaller than the sum of its proper divisors (198714432).

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

88041408 is a wasteful number, since it uses less digits than its factorization.

88041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 88041408 is about 9383.0383138939. The cubic root of 88041408 is about 444.8657727556.

The spelling of 88041408 in words is "eighty-eight million, forty-one thousand, four hundred eight".