67815216 has 120 divisors (see below), whose sum is σ = 221488800. Its totient is φ = 19361664.

The previous prime is 67815211. The next prime is 67815217. The reversal of 67815216 is 61251876.

It is a super-2 number, since 2×67815216² = 9197807042253312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67815211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48706 + ... + 50078.

It is an arithmetic number, because the mean of its divisors is an integer number (1845740).

Almost surely, 2^67815216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67815216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110744400).

67815216 is an abundant number, since it is smaller than the sum of its proper divisors (153673584).

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

67815216 is a wasteful number, since it uses less digits than its factorization.

67815216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1385 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 67815216 is about 8234.9994535519. Note that the first 3 decimals coincide. The cubic root of 67815216 is about 407.7954568735.

The spelling of 67815216 in words is "sixty-seven million, eight hundred fifteen thousand, two hundred sixteen".