67488120 has 256 divisors, whose sum is σ = 262656000. Its totient is φ = 15095808.

The previous prime is 67488119. The next prime is 67488149. The reversal of 67488120 is 2188476.

It is a super-2 number, since 2×67488120² = 9109292682268800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 597184 + ... + 597296.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 2^67488120 is an apocalyptic number.

67488120 is a gapful number since it is divisible by the number (60) 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 67488120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

67488120 is an abundant number, since it is smaller than the sum of its proper divisors (195167880).

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

67488120 is a wasteful number, since it uses less digits than its factorization.

67488120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 67488120 is about 8215.1153369871. The cubic root of 67488120 is about 407.1387542127.

The spelling of 67488120 in words is "sixty-seven million, four hundred eighty-eight thousand, one hundred twenty".