88120384 has 112 divisors (see below), whose sum is σ = 208483200. Its totient is φ = 36495360.

The previous prime is 88120381. The next prime is 88120387. The reversal of 88120384 is 48302188.

It is an interprime number because it is at equal distance from previous prime (88120381) and next prime (88120387).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (88120381) 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, 442717 + ... + 442915.

Almost surely, 2^88120384 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 88120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

88120384 is an abundant number, since it is smaller than the sum of its proper divisors (120362816).

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

88120384 is a wasteful number, since it uses less digits than its factorization.

88120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 88120384 is about 9387.2458154669. The cubic root of 88120384 is about 444.9987526792.

The spelling of 88120384 in words is "eighty-eight million, one hundred twenty thousand, three hundred eighty-four".