67612320 has 288 divisors, whose sum is σ = 250967808. Its totient is φ = 17169408.

The previous prime is 67612319. The next prime is 67612351. The reversal of 67612320 is 2321676.

It is a happy number.

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 (27).

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 47 ways as a sum of consecutive naturals, for example, 1438537 + ... + 1438583.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^67612320 is an apocalyptic number.

67612320 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 67612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

67612320 is an abundant number, since it is smaller than the sum of its proper divisors (183355488).

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

67612320 is a wasteful number, since it uses less digits than its factorization.

67612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 67612320 is about 8222.6710988583. The cubic root of 67612320 is about 407.3883568849.

Adding to 67612320 its reverse (2321676), we get a palindrome (69933996).

It can be divided in two parts, 676 and 12320, that added together give a square (12996 = 114²).

The spelling of 67612320 in words is "sixty-seven million, six hundred twelve thousand, three hundred twenty".