67620 has 72 divisors (see below), whose sum is σ = 229824. Its totient is φ = 14784.

The previous prime is 67619. The next prime is 67631. The reversal of 67620 is 2676.

67620 = T₁₂₆ + T₁₂₇ + ... + T₁₃₃.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2929 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2⁶⁷⁶²⁰ is an apocalyptic number.

67620 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 67620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

67620 is an abundant number, since it is smaller than the sum of its proper divisors (162204).

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

67620 is a wasteful number, since it uses less digits than its factorization.

67620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 67620 is about 260.0384586941. The cubic root of 67620 is about 40.7403781215.

It can be divided in two parts, 676 and 20, that added together give a palindrome (696).

The spelling of 67620 in words is "sixty-seven thousand, six hundred twenty".