88320240 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 22775040.

The previous prime is 88320233. The next prime is 88320241. The reversal of 88320240 is 4202388.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88320241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66301 + ... + 67619.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2^88320240 is an apocalyptic number.

88320240 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 88320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

88320240 is an abundant number, since it is smaller than the sum of its proper divisors (225945360).

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

88320240 is a wasteful number, since it uses less digits than its factorization.

88320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 88320240 is about 9397.8848684159. The cubic root of 88320240 is about 445.3349159907.

The spelling of 88320240 in words is "eighty-eight million, three hundred twenty thousand, two hundred forty".