88986240 has 192 divisors, whose sum is σ = 351336960. Its totient is φ = 20330496.

The previous prime is 88986223. The next prime is 88986259. The reversal of 88986240 is 4268988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 39217 + ... + 41423.

It is an arithmetic number, because the mean of its divisors is an integer number (1829880).

Almost surely, 2^88986240 is an apocalyptic number.

88986240 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 88986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175668480).

88986240 is an abundant number, since it is smaller than the sum of its proper divisors (262350720).

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

88986240 is a wasteful number, since it uses less digits than its factorization.

88986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 88986240 is about 9433.2518253251. The cubic root of 88986240 is about 446.4514990495.

The spelling of 88986240 in words is "eighty-eight million, nine hundred eighty-six thousand, two hundred forty".