741984 has 48 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 241280.

The previous prime is 741973. The next prime is 741991. The reversal of 741984 is 489147.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

741984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5599 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁷⁴¹⁹⁸⁴ 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 741984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

741984 is an abundant number, since it is smaller than the sum of its proper divisors (1253856).

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

741984 is a wasteful number, since it uses less digits than its factorization.

741984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 741984 is about 861.3849313751. The cubic root of 741984 is about 90.5311797980.

It can be divided in two parts, 7419 and 84, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 741984 in words is "seven hundred forty-one thousand, nine hundred eighty-four".