88961000 has 64 divisors (see below), whose sum is σ = 220456080. Its totient is φ = 33484800.

The previous prime is 88960981. The next prime is 88961003. The reversal of 88961000 is 16988.

It can be written as a sum of positive squares in 8 ways, for example, as 30316036 + 58644964 = 5506^2 + 7658^2 .

It is not an unprimeable number, because it can be changed into a prime (88961003) 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, 14384 + ... + 19616.

Almost surely, 2^88961000 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 88961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110228040).

88961000 is an abundant number, since it is smaller than the sum of its proper divisors (131495080).

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

88961000 is a wasteful number, since it uses less digits than its factorization.

88961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 88961000 is about 9431.9139097004. The cubic root of 88961000 is about 446.4092846525.

Adding to 88961000 its reverse (16988), we get a palindrome (88977988).

The spelling of 88961000 in words is "eighty-eight million, nine hundred sixty-one thousand".