741936 has 80 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 215040.

The previous prime is 741929. The next prime is 741941. The reversal of 741936 is 639147.

741936 = 114² + 115² + ... + 154².

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 741936.

It is an unprimeable number.

741936 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 15 ways as a sum of consecutive naturals, for example, 18076 + ... + 18116.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁷⁴¹⁹³⁶ 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 741936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

741936 is an abundant number, since it is smaller than the sum of its proper divisors (1445424).

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

741936 is a wasteful number, since it uses less digits than its factorization.

741936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 741936 is about 861.3570688164. The cubic root of 741936 is about 90.5292275590.

The spelling of 741936 in words is "seven hundred forty-one thousand, nine hundred thirty-six".