88245000 has 240 divisors, whose sum is σ = 312509340. Its totient is φ = 22464000.

The previous prime is 88244993. The next prime is 88245007. The reversal of 88245000 is 54288.

It is an interprime number because it is at equal distance from previous prime (88244993) and next prime (88245007).

It can be written as a sum of positive squares in 10 ways, for example, as 298116 + 87946884 = 546^2 + 9378^2 .

It is not an unprimeable number, because it can be changed into a prime (88245007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1664974 + ... + 1665026.

Almost surely, 2^88245000 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 88245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156254670).

88245000 is an abundant number, since it is smaller than the sum of its proper divisors (224264340).

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

88245000 is a wasteful number, since it uses less digits than its factorization.

88245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

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

The square root of 88245000 is about 9393.8809871107. The cubic root of 88245000 is about 445.2084198125.

Adding to 88245000 its reverse (54288), we get a palindrome (88299288).

It can be divided in two parts, 8824 and 5000, that added together give a cube (13824 = 24³).

The spelling of 88245000 in words is "eighty-eight million, two hundred forty-five thousand".