88561296 has 160 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 26818560.

The previous prime is 88561289. The next prime is 88561303. The reversal of 88561296 is 69216588.

88561296 is a `hidden beast` number, since 88 + 561 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (88561289) and next prime (88561303).

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, 227470 + ... + 227858.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^88561296 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 88561296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

88561296 is an abundant number, since it is smaller than the sum of its proper divisors (189992304).

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

88561296 is a wasteful number, since it uses less digits than its factorization.

88561296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 88561296 is about 9410.7011428480. The cubic root of 88561296 is about 445.7397048056.

The spelling of 88561296 in words is "eighty-eight million, five hundred sixty-one thousand, two hundred ninety-six".