88227840 has 120 divisors (see below), whose sum is σ = 283106880. Its totient is φ = 23461888.

The previous prime is 88227823. The next prime is 88227857. The reversal of 88227840 is 4872288.

It is an interprime number because it is at equal distance from previous prime (88227823) and next prime (88227857).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245581 + ... + 245939.

It is an arithmetic number, because the mean of its divisors is an integer number (2359224).

Almost surely, 2^88227840 is an apocalyptic number.

88227840 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 88227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141553440).

88227840 is an abundant number, since it is smaller than the sum of its proper divisors (194879040).

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

88227840 is an equidigital number, since it uses as much as digits as its factorization.

88227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 88227840 is about 9392.9675821862. The cubic root of 88227840 is about 445.1795597383.

The spelling of 88227840 in words is "eighty-eight million, two hundred twenty-seven thousand, eight hundred forty".