74013984 has 144 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 22003200.

The previous prime is 74013893. The next prime is 74013997. The reversal of 74013984 is 48931047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 193057 + ... + 193439.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^74013984 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 74013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

74013984 is an abundant number, since it is smaller than the sum of its proper divisors (159971040).

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

74013984 is a wasteful number, since it uses less digits than its factorization.

74013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

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

The square root of 74013984 is about 8603.1380321369. The cubic root of 74013984 is about 419.8600894525.

The spelling of 74013984 in words is "seventy-four million, thirteen thousand, nine hundred eighty-four".