88452000 has 576 divisors, whose sum is σ = 400667904. Its totient is φ = 18662400.

The previous prime is 88451999. The next prime is 88452031. The reversal of 88452000 is 25488.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6803994 + ... + 6804006.

It is an arithmetic number, because the mean of its divisors is an integer number (695604).

Almost surely, 2^88452000 is an apocalyptic number.

88452000 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 88452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

88452000 is an abundant number, since it is smaller than the sum of its proper divisors (312215904).

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

88452000 is a wasteful number, since it uses less digits than its factorization.

88452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 88452000 is about 9404.8923438815. The cubic root of 88452000 is about 445.5562626626.

Adding to 88452000 its reverse (25488), we get a palindrome (88477488).

The spelling of 88452000 in words is "eighty-eight million, four hundred fifty-two thousand".