88266240 has 160 divisors (see below), whose sum is σ = 313774560. Its totient is φ = 23519232.

The previous prime is 88266239. The next prime is 88266263. The reversal of 88266240 is 4266288.

88266240 is a `hidden beast` number, since 8 + 8 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×88266240⁴ (a number of 33 digits) contains 4444 as substring.

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 = 88266195 and 88266204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68482 + ... + 69758.

It is an arithmetic number, because the mean of its divisors is an integer number (1961091).

Almost surely, 2^88266240 is an apocalyptic number.

88266240 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 88266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156887280).

88266240 is an abundant number, since it is smaller than the sum of its proper divisors (225508320).

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

88266240 is a wasteful number, since it uses less digits than its factorization.

88266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 88266240 is about 9395.0114422496. The cubic root of 88266240 is about 445.2441365415.

The spelling of 88266240 in words is "eighty-eight million, two hundred sixty-six thousand, two hundred forty".