88532640 has 144 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 20233728.

The previous prime is 88532623. The next prime is 88532641. The reversal of 88532640 is 4623588.

88532640 is a `hidden beast` number, since 8 + 8 + 5 + 3 + 2 + 640 = 666.

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 = 88532595 and 88532604.

It is not an unprimeable number, because it can be changed into a prime (88532641) 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, 5689 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 2^88532640 is an apocalyptic number.

88532640 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 88532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

88532640 is an abundant number, since it is smaller than the sum of its proper divisors (256783968).

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

88532640 is a wasteful number, since it uses less digits than its factorization.

88532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 88532640 is about 9409.1784976160. The cubic root of 88532640 is about 445.6916232490.

The spelling of 88532640 in words is "eighty-eight million, five hundred thirty-two thousand, six hundred forty".