88145712 has 80 divisors (see below), whose sum is σ = 266352000. Its totient is φ = 27832896.

The previous prime is 88145711. The next prime is 88145713. The reversal of 88145712 is 21754188.

88145712 is a `hidden beast` number, since 8 + 81 + 4 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (88145711) and next prime (88145713).

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

It is not an unprimeable number, because it can be changed into a prime (88145711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2839 + ... + 13577.

It is an arithmetic number, because the mean of its divisors is an integer number (3329400).

Almost surely, 2^88145712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88145712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133176000).

88145712 is an abundant number, since it is smaller than the sum of its proper divisors (178206288).

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

88145712 is a wasteful number, since it uses less digits than its factorization.

88145712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10763 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 88145712 is about 9388.5947830333. The cubic root of 88145712 is about 445.0413831817.

The spelling of 88145712 in words is "eighty-eight million, one hundred forty-five thousand, seven hundred twelve".