88112416 has 48 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 36541440.

The previous prime is 88112399. The next prime is 88112419. The reversal of 88112416 is 61421188.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88112419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600 + ... + 13288.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2^88112416 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 88112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

88112416 is an abundant number, since it is smaller than the sum of its proper divisors (116551904).

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

88112416 is a wasteful number, since it uses less digits than its factorization.

88112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12729 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 88112416 is about 9386.8214002398. The cubic root of 88112416 is about 444.9853397519.

The spelling of 88112416 in words is "eighty-eight million, one hundred twelve thousand, four hundred sixteen".