88477488 has 160 divisors (see below), whose sum is σ = 284148480. Its totient is φ = 26127360.

The previous prime is 88477457. The next prime is 88477489.

It is a happy number.

88477488 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88477489) 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 31 ways as a sum of consecutive naturals, for example, 204120 + ... + 204552.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2^88477488 is an apocalyptic number.

88477488 is a gapful number since it is divisible by the number (88) 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 88477488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

88477488 is an abundant number, since it is smaller than the sum of its proper divisors (195670992).

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

88477488 is a wasteful number, since it uses less digits than its factorization.

88477488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 88477488 is about 9406.2472857139. The cubic root of 88477488 is about 445.5990551655.

The spelling of 88477488 in words is "eighty-eight million, four hundred seventy-seven thousand, four hundred eighty-eight".