88464 has 40 divisors (see below), whose sum is σ = 243040. Its totient is φ = 27648.

The previous prime is 88463. The next prime is 88469. The reversal of 88464 is 46488.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88464.

It is not an unprimeable number, because it can be changed into a prime (88463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2⁸⁸⁴⁶⁴ 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 88464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520).

88464 is an abundant number, since it is smaller than the sum of its proper divisors (154576).

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

88464 is a wasteful number, since it uses less digits than its factorization.

88464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 88464 is about 297.4289831203. The cubic root of 88464 is about 44.5576410816.

The spelling of 88464 in words is "eighty-eight thousand, four hundred sixty-four".