67201680 has 320 divisors, whose sum is σ = 272982528. Its totient is φ = 13271040.

The previous prime is 67201679. The next prime is 67201691. The reversal of 67201680 is 8610276.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371190 + ... + 371370.

Almost surely, 2^67201680 is an apocalyptic number.

67201680 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 67201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

67201680 is an abundant number, since it is smaller than the sum of its proper divisors (205780848).

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

67201680 is a wasteful number, since it uses less digits than its factorization.

67201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 67201680 is about 8197.6630816349. The cubic root of 67201680 is about 406.5619306856.

It can be divided in two parts, 6720 and 1680, that multiplied together give a square (11289600 = 3360²).

The spelling of 67201680 in words is "sixty-seven million, two hundred one thousand, six hundred eighty".