88408240 has 80 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 33453056.

The previous prime is 88408231. The next prime is 88408247. The reversal of 88408240 is 4280488.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 88408196 and 88408205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88408247) 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, 122601 + ... + 123319.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^88408240 is an apocalyptic number.

88408240 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 88408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

88408240 is an abundant number, since it is smaller than the sum of its proper divisors (128542160).

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

88408240 is a wasteful number, since it uses less digits than its factorization.

88408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 88408240 is about 9402.5656073223. The cubic root of 88408240 is about 445.4827736204.

The spelling of 88408240 in words is "eighty-eight million, four hundred eight thousand, two hundred forty".