67430880 has 360 divisors, whose sum is σ = 267658776. Its totient is φ = 15966720.

The previous prime is 67430873. The next prime is 67430897. The reversal of 67430880 is 8803476.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568139 + ... + 1568181.

Almost surely, 2^67430880 is an apocalyptic number.

67430880 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 67430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133829388).

67430880 is an abundant number, since it is smaller than the sum of its proper divisors (200227896).

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

67430880 is a wasteful number, since it uses less digits than its factorization.

67430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67430880 is about 8211.6307759178. The cubic root of 67430880 is about 407.0236168424.

67430880 divided by its sum of digits (36) gives a triangular number (1873080 = T₁₉₃₅).

The spelling of 67430880 in words is "sixty-seven million, four hundred thirty thousand, eight hundred eighty".