88889400 has 288 divisors, whose sum is σ = 324979200. Its totient is φ = 22550400.

The previous prime is 88889387. The next prime is 88889401. The reversal of 88889400 is 498888.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88889401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1506571 + ... + 1506629.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^88889400 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 88889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

88889400 is an abundant number, since it is smaller than the sum of its proper divisors (236089800).

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

88889400 is a wasteful number, since it uses less digits than its factorization.

88889400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88889400 is about 9428.1175215416. The cubic root of 88889400 is about 446.2894887730.

The spelling of 88889400 in words is "eighty-eight million, eight hundred eighty-nine thousand, four hundred".