88254768 has 160 divisors (see below), whose sum is σ = 277442560. Its totient is φ = 23639040.

The previous prime is 88254763. The next prime is 88254773. The reversal of 88254768 is 86745288.

It is an interprime number because it is at equal distance from previous prime (88254763) and next prime (88254773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (88254763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385278 + ... + 385506.

It is an arithmetic number, because the mean of its divisors is an integer number (1734016).

Almost surely, 2^88254768 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 88254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138721280).

88254768 is an abundant number, since it is smaller than the sum of its proper divisors (189187792).

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

88254768 is a wasteful number, since it uses less digits than its factorization.

88254768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 88254768 is about 9394.4008856340. The cubic root of 88254768 is about 445.2248461838.

The spelling of 88254768 in words is "eighty-eight million, two hundred fifty-four thousand, seven hundred sixty-eight".