66837936 has 80 divisors (see below), whose sum is σ = 190344960. Its totient is φ = 20040960.

The previous prime is 66837923. The next prime is 66837937. The reversal of 66837936 is 63973866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66837937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53770 + ... + 54998.

It is an arithmetic number, because the mean of its divisors is an integer number (2379312).

Almost surely, 2^66837936 is an apocalyptic number.

66837936 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66837936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480).

66837936 is an abundant number, since it is smaller than the sum of its proper divisors (123507024).

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

66837936 is a wasteful number, since it uses less digits than its factorization.

66837936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 66837936 is about 8175.4471437347. The cubic root of 66837936 is about 405.8270676716.

The spelling of 66837936 in words is "sixty-six million, eight hundred thirty-seven thousand, nine hundred thirty-six".