88842240 has 168 divisors, whose sum is σ = 309245508. Its totient is φ = 23592960.

The previous prime is 88842239. The next prime is 88842329. The reversal of 88842240 is 4224888.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 331776 = 9408^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88842195 and 88842204.

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, 368520 + ... + 368760.

Almost surely, 2^88842240 is an apocalyptic number.

88842240 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 88842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154622754).

88842240 is an abundant number, since it is smaller than the sum of its proper divisors (220403268).

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

88842240 is a wasteful number, since it uses less digits than its factorization.

88842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 88842240 is about 9425.6161602306. The cubic root of 88842240 is about 446.2105489687.

The spelling of 88842240 in words is "eighty-eight million, eight hundred forty-two thousand, two hundred forty".