67369140 has 72 divisors (see below), whose sum is σ = 205333128. Its totient is φ = 17879040.

The previous prime is 67369129. The next prime is 67369151. The reversal of 67369140 is 4196376.

It is an interprime number because it is at equal distance from previous prime (67369129) and next prime (67369151).

It can be written as a sum of positive squares in 4 ways, for example, as 3305124 + 64064016 = 1818^2 + 8004^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 67369095 and 67369104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42604 + ... + 44156.

It is an arithmetic number, because the mean of its divisors is an integer number (2851849).

Almost surely, 2^67369140 is an apocalyptic number.

67369140 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 67369140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102666564).

67369140 is an abundant number, since it is smaller than the sum of its proper divisors (137963988).

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

67369140 is a wasteful number, since it uses less digits than its factorization.

67369140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67369140 is about 8207.8706130153. The cubic root of 67369140 is about 406.8993547258.

It can be divided in two parts, 6736 and 9140, that added together give a square (15876 = 126²).

The spelling of 67369140 in words is "sixty-seven million, three hundred sixty-nine thousand, one hundred forty".