88811424 has 96 divisors (see below), whose sum is σ = 278994240. Its totient is φ = 27323136.

The previous prime is 88811419. The next prime is 88811473. The reversal of 88811424 is 42411888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7279 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (2906190).

Almost surely, 2^88811424 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 88811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139497120).

88811424 is an abundant number, since it is smaller than the sum of its proper divisors (190182816).

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

88811424 is a wasteful number, since it uses less digits than its factorization.

88811424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7925 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 88811424 is about 9423.9813242599. The cubic root of 88811424 is about 446.1589518364.

The spelling of 88811424 in words is "eighty-eight million, eight hundred eleven thousand, four hundred twenty-four".