67977216 has 90 divisors (see below), whose sum is σ = 196798602. Its totient is φ = 22609920.

The previous prime is 67977157. The next prime is 67977223. The reversal of 67977216 is 61277976.

67977216 = T₂₉₆ + T₂₉₇ + ... + T₇₅₆.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 14745600 = 7296^2 + 3840^2 .

It is a super-2 number, since 2×67977216² = 9241803790221312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147226 + ... + 147686.

Almost surely, 2^67977216 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 67977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98399301).

67977216 is an abundant number, since it is smaller than the sum of its proper divisors (128821386).

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

67977216 is an equidigital number, since it uses as much as digits as its factorization.

67977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 466 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 67977216 is about 8244.8296525762. The cubic root of 67977216 is about 408.1199186142.

The spelling of 67977216 in words is "sixty-seven million, nine hundred seventy-seven thousand, two hundred sixteen".