67332480 has 64 divisors (see below), whose sum is σ = 214628400. Its totient is φ = 17954816.

The previous prime is 67332469. The next prime is 67332481. The reversal of 67332480 is 8423376.

67332480 = 380² + 381² + ... + 635².

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67332481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15615 + ... + 19454.

Almost surely, 2^67332480 is an apocalyptic number.

67332480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67332480 is an abundant number, since it is smaller than the sum of its proper divisors (147295920).

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

67332480 is a wasteful number, since it uses less digits than its factorization.

67332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35091 (or 35079 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 67332480 is about 8205.6370867837. The cubic root of 67332480 is about 406.8255343934.

It can be divided in two parts, 673 and 32480, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 67332480 in words is "sixty-seven million, three hundred thirty-two thousand, four hundred eighty".