67949820 has 96 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 17328960.

The previous prime is 67949803. The next prime is 67949839. The reversal of 67949820 is 2894976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9685 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^67949820 is an apocalyptic number.

67949820 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 67949820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

67949820 is an abundant number, since it is smaller than the sum of its proper divisors (152681220).

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

67949820 is a wasteful number, since it uses less digits than its factorization.

67949820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 67949820 is about 8243.1680802953. The cubic root of 67949820 is about 408.0650847727.

The spelling of 67949820 in words is "sixty-seven million, nine hundred forty-nine thousand, eight hundred twenty".