88005540 has 96 divisors (see below), whose sum is σ = 282933504. Its totient is φ = 20021760.

The previous prime is 88005527. The next prime is 88005551. The reversal of 88005540 is 4550088.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88005498 and 88005507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132810 + ... + 133470.

It is an arithmetic number, because the mean of its divisors is an integer number (2947224).

Almost surely, 2^88005540 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 88005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141466752).

88005540 is an abundant number, since it is smaller than the sum of its proper divisors (194927964).

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

88005540 is a wasteful number, since it uses less digits than its factorization.

88005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 88005540 is about 9381.1267979918. The cubic root of 88005540 is about 444.8053518950.

The spelling of 88005540 in words is "eighty-eight million, five thousand, five hundred forty".