88226880 has 224 divisors, whose sum is σ = 337474560. Its totient is φ = 19077120.

The previous prime is 88226869. The next prime is 88226891. The reversal of 88226880 is 8862288.

It is an interprime number because it is at equal distance from previous prime (88226869) and next prime (88226891).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127335 + ... + 128025.

Almost surely, 2^88226880 is an apocalyptic number.

88226880 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 88226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168737280).

88226880 is an abundant number, since it is smaller than the sum of its proper divisors (249247680).

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

88226880 is a wasteful number, since it uses less digits than its factorization.

88226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 88226880 is about 9392.9164799864. The cubic root of 88226880 is about 445.1779450782.

The spelling of 88226880 in words is "eighty-eight million, two hundred twenty-six thousand, eight hundred eighty".