88252416 has 280 divisors, whose sum is σ = 317174880. Its totient is φ = 23887872.

The previous prime is 88252391. The next prime is 88252441. The reversal of 88252416 is 61425288.

It is an interprime number because it is at equal distance from previous prime (88252391) and next prime (88252441).

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

Its product of digits (30720) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644855 + ... + 4644873.

Almost surely, 2^88252416 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 88252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158587440).

88252416 is an abundant number, since it is smaller than the sum of its proper divisors (228922464).

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

88252416 is an equidigital number, since it uses as much as digits as its factorization.

88252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

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

The square root of 88252416 is about 9394.2757038529. The cubic root of 88252416 is about 445.2208910504.

The spelling of 88252416 in words is "eighty-eight million, two hundred fifty-two thousand, four hundred sixteen".