88145064 has 128 divisors (see below), whose sum is σ = 283180800. Its totient is φ = 24883200.

The previous prime is 88145003. The next prime is 88145107. The reversal of 88145064 is 46054188.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146364 + ... + 146964.

It is an arithmetic number, because the mean of its divisors is an integer number (2212350).

Almost surely, 2^88145064 is an apocalyptic number.

88145064 is a gapful number since it is divisible by the number (84) 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 88145064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141590400).

88145064 is an abundant number, since it is smaller than the sum of its proper divisors (195035736).

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

88145064 is a wasteful number, since it uses less digits than its factorization.

88145064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88145064 is about 9388.5602730131. The cubic root of 88145064 is about 445.0402926105.

The spelling of 88145064 in words is "eighty-eight million, one hundred forty-five thousand, sixty-four".