88279040 has 96 divisors (see below), whose sum is σ = 218476440. Its totient is φ = 34209792.

The previous prime is 88279031. The next prime is 88279067. The reversal of 88279040 is 4097288.

It can be written as a sum of positive squares in 4 ways, for example, as 75203584 + 13075456 = 8672^2 + 3616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88278985 and 88279003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378764 + ... + 378996.

Almost surely, 2^88279040 is an apocalyptic number.

88279040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238220).

88279040 is an abundant number, since it is smaller than the sum of its proper divisors (130197400).

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

88279040 is a wasteful number, since it uses less digits than its factorization.

88279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 88279040 is about 9395.6926301364. The cubic root of 88279040 is about 445.2656579805.

The spelling of 88279040 in words is "eighty-eight million, two hundred seventy-nine thousand, forty".