88414416 has 100 divisors (see below), whose sum is σ = 271017252. Its totient is φ = 27730944.

The previous prime is 88414411. The next prime is 88414439. The reversal of 88414416 is 61441488.

It can be written as a sum of positive squares in 2 ways, for example, as 71571600 + 16842816 = 8460^2 + 4104^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88414411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20026 + ... + 24038.

Almost surely, 2^88414416 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 88414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135508626).

88414416 is an abundant number, since it is smaller than the sum of its proper divisors (182602836).

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

88414416 is a wasteful number, since it uses less digits than its factorization.

88414416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4035 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 88414416 is about 9402.8940225869. The cubic root of 88414416 is about 445.4931468524.

The spelling of 88414416 in words is "eighty-eight million, four hundred fourteen thousand, four hundred sixteen".