88769000 has 64 divisors (see below), whose sum is σ = 214952400. Its totient is φ = 34272000.

The previous prime is 88768987. The next prime is 88769003. The reversal of 88769000 is 96788.

It can be written as a sum of positive squares in 8 ways, for example, as 18645124 + 70123876 = 4318^2 + 8374^2 .

It is a super-2 number, since 2×88769000² = 15759870722000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88769003) by changing a digit.

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, 27470 + ... + 30530.

Almost surely, 2^88769000 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 88769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107476200).

88769000 is an abundant number, since it is smaller than the sum of its proper divisors (126183400).

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

88769000 is a wasteful number, since it uses less digits than its factorization.

88769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 88769000 is about 9421.7302020383. The cubic root of 88769000 is about 446.0878991829.

The spelling of 88769000 in words is "eighty-eight million, seven hundred sixty-nine thousand".