67616820 has 144 divisors (see below), whose sum is σ = 228795840. Its totient is φ = 16063488.

The previous prime is 67616819. The next prime is 67616821. The reversal of 67616820 is 2861676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67616819) and next prime (67616821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67616821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57559 + ... + 58721.

It is an arithmetic number, because the mean of its divisors is an integer number (1588860).

Almost surely, 2^67616820 is an apocalyptic number.

67616820 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 67616820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397920).

67616820 is an abundant number, since it is smaller than the sum of its proper divisors (161179020).

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

67616820 is a wasteful number, since it uses less digits than its factorization.

67616820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 67616820 is about 8222.9447280156. The cubic root of 67616820 is about 407.3973947197.

The spelling of 67616820 in words is "sixty-seven million, six hundred sixteen thousand, eight hundred twenty".