67379040 has 144 divisors (see below), whose sum is σ = 238584528. Its totient is φ = 17957376.

The previous prime is 67379017. The next prime is 67379047. The reversal of 67379040 is 4097376.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 67378986 and 67379004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67379047) 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, 38014 + ... + 39746.

It is an arithmetic number, because the mean of its divisors is an integer number (1656837).

Almost surely, 2^67379040 is an apocalyptic number.

67379040 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 67379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119292264).

67379040 is an abundant number, since it is smaller than the sum of its proper divisors (171205488).

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

67379040 is a wasteful number, since it uses less digits than its factorization.

67379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 67379040 is about 8208.4736705431. The cubic root of 67379040 is about 406.9192852475.

The spelling of 67379040 in words is "sixty-seven million, three hundred seventy-nine thousand, forty".