88498080 has 288 divisors, whose sum is σ = 340599168. Its totient is φ = 20736000.

The previous prime is 88498063. The next prime is 88498093. The reversal of 88498080 is 8089488.

88498080 is a `hidden beast` number, since 88 + 498 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586005 + ... + 586155.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 2^88498080 is an apocalyptic number.

88498080 is a gapful number since it is divisible by the number (80) 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 88498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170299584).

88498080 is an abundant number, since it is smaller than the sum of its proper divisors (252101088).

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

88498080 is a wasteful number, since it uses less digits than its factorization.

88498080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

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

The square root of 88498080 is about 9407.3418137112. The cubic root of 88498080 is about 445.6336216381.

The spelling of 88498080 in words is "eighty-eight million, four hundred ninety-eight thousand, eighty".