67484160 has 240 divisors, whose sum is σ = 244169640. Its totient is φ = 17203200.

The previous prime is 67484159. The next prime is 67484191. The reversal of 67484160 is 6148476.

It can be written as a sum of positive squares in 4 ways, for example, as 65804544 + 1679616 = 8112^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×67484160² = 9108223701811200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668110 + ... + 668210.

Almost surely, 2^67484160 is an apocalyptic number.

67484160 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 67484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122084820).

67484160 is an abundant number, since it is smaller than the sum of its proper divisors (176685480).

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

67484160 is a wasteful number, since it uses less digits than its factorization.

67484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

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

The square root of 67484160 is about 8214.8743143155. The cubic root of 67484160 is about 407.1307908309.

The spelling of 67484160 in words is "sixty-seven million, four hundred eighty-four thousand, one hundred sixty".