88649424 has 80 divisors (see below), whose sum is σ = 269447040. Its totient is φ = 27809280.

The previous prime is 88649423. The next prime is 88649453. The reversal of 88649424 is 42494688.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88649424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88649423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (3368088).

Almost surely, 2^88649424 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 88649424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134723520).

88649424 is an abundant number, since it is smaller than the sum of its proper divisors (180797616).

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

88649424 is a wasteful number, since it uses less digits than its factorization.

88649424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105 (or 12093 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 88649424 is about 9415.3823076920. The cubic root of 88649424 is about 445.8875087474.

The spelling of 88649424 in words is "eighty-eight million, six hundred forty-nine thousand, four hundred twenty-four".