88374240 has 144 divisors (see below), whose sum is σ = 312884208. Its totient is φ = 23556096.

The previous prime is 88374239. The next prime is 88374259. The reversal of 88374240 is 4247388.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 88374195 and 88374204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37744 + ... + 40016.

It is an arithmetic number, because the mean of its divisors is an integer number (2172807).

Almost surely, 2^88374240 is an apocalyptic number.

88374240 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 88374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156442104).

88374240 is an abundant number, since it is smaller than the sum of its proper divisors (224509968).

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

88374240 is a wasteful number, since it uses less digits than its factorization.

88374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 88374240 is about 9400.7574162936. The cubic root of 88374240 is about 445.4256584451.

The spelling of 88374240 in words is "eighty-eight million, three hundred seventy-four thousand, two hundred forty".