88814000 has 120 divisors (see below), whose sum is σ = 236693184. Its totient is φ = 32208000.

The previous prime is 88813997. The next prime is 88814003. The reversal of 88814000 is 41888.

It is an interprime number because it is at equal distance from previous prime (88813997) and next prime (88814003).

It is not an unprimeable number, because it can be changed into a prime (88814003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241817 + ... + 242183.

Almost surely, 2^88814000 is an apocalyptic number.

88814000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118346592).

88814000 is an abundant number, since it is smaller than the sum of its proper divisors (147879184).

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

88814000 is a wasteful number, since it uses less digits than its factorization.

88814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 88814000 is about 9424.1179958657. The cubic root of 88814000 is about 446.1632654495.

Adding to 88814000 its reverse (41888), we get a palindrome (88855888).

The spelling of 88814000 in words is "eighty-eight million, eight hundred fourteen thousand".