67476960 has 144 divisors (see below), whose sum is σ = 235400256. Its totient is φ = 17593344.

The previous prime is 67476953. The next prime is 67476967. The reversal of 67476960 is 6967476.

It is an interprime number because it is at equal distance from previous prime (67476953) and next prime (67476967).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67476967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67182 + ... + 68178.

It is an arithmetic number, because the mean of its divisors is an integer number (1634724).

Almost surely, 2^67476960 is an apocalyptic number.

67476960 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 67476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117700128).

67476960 is an abundant number, since it is smaller than the sum of its proper divisors (167923296).

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

67476960 is a wasteful number, since it uses less digits than its factorization.

67476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 67476960 is about 8214.4360731580. The cubic root of 67476960 is about 407.1163111567.

The spelling of 67476960 in words is "sixty-seven million, four hundred seventy-six thousand, nine hundred sixty".