67140480 has 288 divisors, whose sum is σ = 249885720. Its totient is φ = 15319040.

The previous prime is 67140449. The next prime is 67140503. The reversal of 67140480 is 8404176.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3949432 + ... + 3949448.

Almost surely, 2^67140480 is an apocalyptic number.

67140480 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 67140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124942860).

67140480 is an abundant number, since it is smaller than the sum of its proper divisors (182745240).

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

67140480 is a wasteful number, since it uses less digits than its factorization.

67140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 67140480 is about 8193.9294602773. The cubic root of 67140480 is about 406.4384757008.

Multiplying 67140480 by its sum of digits (30), we get a square (2014214400 = 44880²).

67140480 divided by its sum of digits (30) gives a square (2238016 = 1496²).

The spelling of 67140480 in words is "sixty-seven million, one hundred forty thousand, four hundred eighty".