88267920 has 160 divisors (see below), whose sum is σ = 310396800. Its totient is φ = 20570112.

The previous prime is 88267897. The next prime is 88267973. The reversal of 88267920 is 2976288.

It is a happy number.

It is a super-2 number, since 2×88267920² = 15582451402252800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58536 + ... + 60024.

It is an arithmetic number, because the mean of its divisors is an integer number (1939980).

Almost surely, 2^88267920 is an apocalyptic number.

88267920 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 88267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155198400).

88267920 is an abundant number, since it is smaller than the sum of its proper divisors (222128880).

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

88267920 is a wasteful number, since it uses less digits than its factorization.

88267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 88267920 is about 9395.1008509755. The cubic root of 88267920 is about 445.2469613490.

The spelling of 88267920 in words is "eighty-eight million, two hundred sixty-seven thousand, nine hundred twenty".