67641420 has 144 divisors (see below), whose sum is σ = 238097664. Its totient is φ = 14055360.

The previous prime is 67641407. The next prime is 67641437. The reversal of 67641420 is 2414676.

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 47 ways as a sum of consecutive naturals, for example, 6149215 + ... + 6149225.

It is an arithmetic number, because the mean of its divisors is an integer number (1653456).

Almost surely, 2^67641420 is an apocalyptic number.

67641420 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 67641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119048832).

67641420 is an abundant number, since it is smaller than the sum of its proper divisors (170456244).

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

67641420 is an equidigital number, since it uses as much as digits as its factorization.

67641420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67641420 is about 8224.4404064958. The cubic root of 67641420 is about 407.4467944636.

The spelling of 67641420 in words is "sixty-seven million, six hundred forty-one thousand, four hundred twenty".