88027920 has 120 divisors (see below), whose sum is σ = 298748736. Its totient is φ = 23226624.

The previous prime is 88027909. The next prime is 88027949. The reversal of 88027920 is 2972088.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 73567 + ... + 74753.

Almost surely, 2^88027920 is an apocalyptic number.

88027920 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 88027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368).

88027920 is an abundant number, since it is smaller than the sum of its proper divisors (210720816).

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

88027920 is a wasteful number, since it uses less digits than its factorization.

88027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 88027920 is about 9382.3195426291. The cubic root of 88027920 is about 444.8430536884.

The spelling of 88027920 in words is "eighty-eight million, twenty-seven thousand, nine hundred twenty".