88705440 has 144 divisors (see below), whose sum is σ = 305159400. Its totient is φ = 23463936.

The previous prime is 88705423. The next prime is 88705459. The reversal of 88705440 is 4450788.

It can be written as a sum of positive squares in 4 ways, for example, as 70761744 + 17943696 = 8412^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88705395 and 88705404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329626 + ... + 329894.

Almost surely, 2^88705440 is an apocalyptic number.

88705440 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 88705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152579700).

88705440 is an abundant number, since it is smaller than the sum of its proper divisors (216453960).

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

88705440 is a wasteful number, since it uses less digits than its factorization.

88705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 88705440 is about 9418.3565445358. The cubic root of 88705440 is about 445.9814051113.

The spelling of 88705440 in words is "eighty-eight million, seven hundred five thousand, four hundred forty".