88068000 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 22784000.

The previous prime is 88067981. The next prime is 88068049. The reversal of 88068000 is 86088.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491911 + ... + 492089.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^88068000 is an apocalyptic number.

88068000 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 88068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

88068000 is an abundant number, since it is smaller than the sum of its proper divisors (209130720).

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

88068000 is a wasteful number, since it uses less digits than its factorization.

88068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 88068000 is about 9384.4552319248. The cubic root of 88068000 is about 444.9105572877.

The spelling of 88068000 in words is "eighty-eight million, sixty-eight thousand".