88188240 has 120 divisors (see below), whose sum is σ = 318060000. Its totient is φ = 20154624.

The previous prime is 88188239. The next prime is 88188241. The reversal of 88188240 is 4288188.

It is an interprime number because it is at equal distance from previous prime (88188239) and next prime (88188241).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88188241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8011 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2^88188240 is an apocalyptic number.

88188240 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 88188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030000).

88188240 is an abundant number, since it is smaller than the sum of its proper divisors (229871760).

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

88188240 is a wasteful number, since it uses less digits than its factorization.

88188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 88188240 is about 9390.8593855941. The cubic root of 88188240 is about 445.1129452821.

The spelling of 88188240 in words is "eighty-eight million, one hundred eighty-eight thousand, two hundred forty".