88400088 has 96 divisors (see below), whose sum is σ = 280051200. Its totient is φ = 24663744.

The previous prime is 88400087. The next prime is 88400089. The reversal of 88400088 is 88000488.

It is an interprime number because it is at equal distance from previous prime (88400087) and next prime (88400089).

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 (88400087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19633 + ... + 23711.

It is an arithmetic number, because the mean of its divisors is an integer number (2917200).

Almost surely, 2^88400088 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 88400088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140025600).

88400088 is an abundant number, since it is smaller than the sum of its proper divisors (191651112).

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

88400088 is a wasteful number, since it uses less digits than its factorization.

88400088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88400088 is about 9402.1320986253. The cubic root of 88400088 is about 445.4690807520.

The spelling of 88400088 in words is "eighty-eight million, four hundred thousand, eighty-eight".