88274016 has 96 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 28990080.

The previous prime is 88274003. The next prime is 88274071. The reversal of 88274016 is 61047288.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 60625 + ... + 62063.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^88274016 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 88274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

88274016 is an abundant number, since it is smaller than the sum of its proper divisors (172999584).

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

88274016 is a wasteful number, since it uses less digits than its factorization.

88274016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88274016 is about 9395.4252697789. The cubic root of 88274016 is about 445.2572110637.

The spelling of 88274016 in words is "eighty-eight million, two hundred seventy-four thousand, sixteen".