88482240 has 672 divisors, whose sum is σ = 416966400. Its totient is φ = 17418240.

The previous prime is 88482211. The next prime is 88482337. The reversal of 88482240 is 4228488.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 88482195 and 88482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656951 + ... + 4656969.

Almost surely, 2^88482240 is an apocalyptic number.

88482240 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 88482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

88482240 is an abundant number, since it is smaller than the sum of its proper divisors (328484160).

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

88482240 is a wasteful number, since it uses less digits than its factorization.

88482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

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

The square root of 88482240 is about 9406.4998804018. The cubic root of 88482240 is about 445.6070325198.

The spelling of 88482240 in words is "eighty-eight million, four hundred eighty-two thousand, two hundred forty".