88677648 has 60 divisors (see below), whose sum is σ = 249900300. Its totient is φ = 29353728.

The previous prime is 88677613. The next prime is 88677707. The reversal of 88677648 is 84677688.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 52533504 = 6012^2 + 7248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88677594 and 88677603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19390 + ... + 23522.

It is an arithmetic number, because the mean of its divisors is an integer number (4165005).

Almost surely, 2^88677648 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 88677648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124950150).

88677648 is an abundant number, since it is smaller than the sum of its proper divisors (161222652).

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

88677648 is a wasteful number, since it uses less digits than its factorization.

88677648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4287 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 88677648 is about 9416.8810123098. The cubic root of 88677648 is about 445.9348239400.

The spelling of 88677648 in words is "eighty-eight million, six hundred seventy-seven thousand, six hundred forty-eight".