88408000 has 112 divisors (see below), whose sum is σ = 224905824. Its totient is φ = 34406400.

The previous prime is 88407997. The next prime is 88408009. The reversal of 88408000 is 80488.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88408000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88408009) 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, 343872 + ... + 344128.

Almost surely, 2^88408000 is an apocalyptic number.

88408000 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 88408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112452912).

88408000 is an abundant number, since it is smaller than the sum of its proper divisors (136497824).

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

88408000 is a wasteful number, since it uses less digits than its factorization.

88408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 88408000 is about 9402.5528448395. The cubic root of 88408000 is about 445.4823705058.

Adding to 88408000 its reverse (80488), we get a palindrome (88488488).

The spelling of 88408000 in words is "eighty-eight million, four hundred eight thousand".