67977450 has 72 divisors (see below), whose sum is σ = 188966700. Its totient is φ = 17498880.

The previous prime is 67977439. The next prime is 67977457. The reversal of 67977450 is 5477976.

It can be written as a sum of positive squares in 6 ways, for example, as 46826649 + 21150801 = 6843^2 + 4599^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 67977396 and 67977405.

It is not an unprimeable number, because it can be changed into a prime (67977457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10446 + ... + 15654.

Almost surely, 2^67977450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67977450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94483350).

67977450 is an abundant number, since it is smaller than the sum of its proper divisors (120989250).

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

67977450 is a wasteful number, since it uses less digits than its factorization.

67977450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 67977450 is about 8244.8438432756. The cubic root of 67977450 is about 408.1203869081.

The spelling of 67977450 in words is "sixty-seven million, nine hundred seventy-seven thousand, four hundred fifty".