88549000 has 64 divisors (see below), whose sum is σ = 210216240. Its totient is φ = 34905600.

The previous prime is 88548983. The next prime is 88549031. The reversal of 88549000 is 94588.

It can be written as a sum of positive squares in 8 ways, for example, as 527076 + 88021924 = 726^2 + 9382^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72394 + ... + 73606.

Almost surely, 2^88549000 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 88549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105108120).

88549000 is an abundant number, since it is smaller than the sum of its proper divisors (121667240).

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

88549000 is a wasteful number, since it uses less digits than its factorization.

88549000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 88549000 is about 9410.0478213450. The cubic root of 88549000 is about 445.7190747662.

The spelling of 88549000 in words is "eighty-eight million, five hundred forty-nine thousand".