74006920 has 64 divisors (see below), whose sum is σ = 185149440. Its totient is φ = 26438400.

The previous prime is 74006917. The next prime is 74006923. The reversal of 74006920 is 2960047.

It is an interprime number because it is at equal distance from previous prime (74006917) and next prime (74006923).

It is a super-3 number, since 3×74006920³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (74006923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13825 + ... + 18415.

It is an arithmetic number, because the mean of its divisors is an integer number (2892960).

Almost surely, 2^74006920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92574720).

74006920 is an abundant number, since it is smaller than the sum of its proper divisors (111142520).

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

74006920 is a wasteful number, since it uses less digits than its factorization.

74006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 74006920 is about 8602.7274744699. The cubic root of 74006920 is about 419.8467316794.

Adding to 74006920 its reverse (2960047), we get a palindrome (76966967).

The spelling of 74006920 in words is "seventy-four million, six thousand, nine hundred twenty".