88085124 has 48 divisors (see below), whose sum is σ = 238304640. Its totient is φ = 28084320.

The previous prime is 88085117. The next prime is 88085131. The reversal of 88085124 is 42158088.

It is an interprime number because it is at equal distance from previous prime (88085117) and next prime (88085131).

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15247 + ... + 20214.

It is an arithmetic number, because the mean of its divisors is an integer number (4964680).

Almost surely, 2^88085124 is an apocalyptic number.

It is an amenable number.

88085124 is an abundant number, since it is smaller than the sum of its proper divisors (150219516).

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

88085124 is a wasteful number, since it uses less digits than its factorization.

88085124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35497 (or 35489 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88085124 is about 9385.3675474112. The cubic root of 88085124 is about 444.9393916530.

It can be divided in two parts, 88085 and 124, that added together give a square (88209 = 297²).

The spelling of 88085124 in words is "eighty-eight million, eighty-five thousand, one hundred twenty-four".