93742000 has 80 divisors (see below), whose sum is σ = 247332384. Its totient is φ = 34080000.

The previous prime is 93741959. The next prime is 93742003. The reversal of 93742000 is 24739.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (93742003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19870 + ... + 24130.

Almost surely, 2^93742000 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 93742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123666192).

93742000 is an abundant number, since it is smaller than the sum of its proper divisors (153590384).

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

93742000 is a wasteful number, since it uses less digits than its factorization.

93742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 93742000 is about 9682.0452384814. The cubic root of 93742000 is about 454.2672260940.

Adding to 93742000 its reverse (24739), we get a palindrome (93766739).

The spelling of 93742000 in words is "ninety-three million, seven hundred forty-two thousand".