88213840 has 120 divisors (see below), whose sum is σ = 243125064. Its totient is φ = 29568000.

The previous prime is 88213831. The next prime is 88213841. The reversal of 88213840 is 4831288.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 78996544 = 3036^2 + 8888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88213796 and 88213805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88213841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125490 + ... + 126190.

Almost surely, 2^88213840 is an apocalyptic number.

88213840 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 88213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

88213840 is an abundant number, since it is smaller than the sum of its proper divisors (154911224).

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

88213840 is a wasteful number, since it uses less digits than its factorization.

88213840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 88213840 is about 9392.2223142343. Note that the first 3 decimals coincide. The cubic root of 88213840 is about 445.1560114512.

The spelling of 88213840 in words is "eighty-eight million, two hundred thirteen thousand, eight hundred forty".