88470144 has 320 divisors, whose sum is σ = 319904640. Its totient is φ = 23721984.

The previous prime is 88470143. The next prime is 88470149. The reversal of 88470144 is 44107488.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 88470099 and 88470108.

It is not an unprimeable number, because it can be changed into a prime (88470143) 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 39 ways as a sum of consecutive naturals, for example, 1669222 + ... + 1669274.

It is an arithmetic number, because the mean of its divisors is an integer number (999702).

Almost surely, 2^88470144 is an apocalyptic number.

88470144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

88470144 is an abundant number, since it is smaller than the sum of its proper divisors (231434496).

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

88470144 is a wasteful number, since it uses less digits than its factorization.

88470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 88470144 is about 9405.8568987626. The cubic root of 88470144 is about 445.5867259652.

The spelling of 88470144 in words is "eighty-eight million, four hundred seventy thousand, one hundred forty-four".