67948440 has 128 divisors (see below), whose sum is σ = 243164160. Its totient is φ = 14851584.

The previous prime is 67948399. The next prime is 67948451. The reversal of 67948440 is 4484976.

67948440 = T₄₉₃ + T₄₉₄ + ... + T₈₀₇.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 67948392 and 67948401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17562 + ... + 21078.

It is an arithmetic number, because the mean of its divisors is an integer number (1899720).

Almost surely, 2^67948440 is an apocalyptic number.

67948440 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 67948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121582080).

67948440 is an abundant number, since it is smaller than the sum of its proper divisors (175215720).

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

67948440 is a wasteful number, since it uses less digits than its factorization.

67948440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 67948440 is about 8243.0843741891. The cubic root of 67948440 is about 408.0623222752.

The spelling of 67948440 in words is "sixty-seven million, nine hundred forty-eight thousand, four hundred forty".