88380096 has 112 divisors (see below), whose sum is σ = 281391360. Its totient is φ = 23915520.

The previous prime is 88380091. The next prime is 88380107. The reversal of 88380096 is 69008388.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×88380096² = 15622082737938432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (88380091) 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, 23806 + ... + 27266.

Almost surely, 2^88380096 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 88380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140695680).

88380096 is an abundant number, since it is smaller than the sum of its proper divisors (193011264).

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

88380096 is a wasteful number, since it uses less digits than its factorization.

88380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 88380096 is about 9401.0688753992. The cubic root of 88380096 is about 445.4354967382.

The spelling of 88380096 in words is "eighty-eight million, three hundred eighty thousand, ninety-six".