66919104 has 126 divisors (see below), whose sum is σ = 223221804. Its totient is φ = 19111680.

The previous prime is 66919103. The next prime is 66919109. The reversal of 66919104 is 40191966.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is not an unprimeable number, because it can be changed into a prime (66919103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27039 + ... + 29409.

Almost surely, 2^66919104 is an apocalyptic number.

66919104 is a gapful number since it is divisible by the number (64) 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 66919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111610902).

66919104 is an abundant number, since it is smaller than the sum of its proper divisors (156302700).

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

66919104 is a wasteful number, since it uses less digits than its factorization.

66919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 66919104 is about 8180.4097696876. The cubic root of 66919104 is about 405.9912800347.

The spelling of 66919104 in words is "sixty-six million, nine hundred nineteen thousand, one hundred four".