74028864 has 224 divisors, whose sum is σ = 254894080. Its totient is φ = 18413568.

The previous prime is 74028847. The next prime is 74028887. The reversal of 74028864 is 46882047.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331857 + ... + 332079.

It is an arithmetic number, because the mean of its divisors is an integer number (1137920).

Almost surely, 2^74028864 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 74028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127447040).

74028864 is an abundant number, since it is smaller than the sum of its proper divisors (180865216).

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

74028864 is a wasteful number, since it uses less digits than its factorization.

74028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 74028864 is about 8604.0027893998. The cubic root of 74028864 is about 419.8882242237. Note that the first 3 decimals are identical.

The spelling of 74028864 in words is "seventy-four million, twenty-eight thousand, eight hundred sixty-four".