66167604 has 120 divisors (see below), whose sum is σ = 188257608. Its totient is φ = 20183040.

The previous prime is 66167567. The next prime is 66167617. The reversal of 66167604 is 40676166.

It can be written as a sum of positive squares in 4 ways, for example, as 17139600 + 49028004 = 4140^2 + 7002^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225682 + ... + 225974.

Almost surely, 2^66167604 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 66167604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94128804).

66167604 is an abundant number, since it is smaller than the sum of its proper divisors (122090004).

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

66167604 is a wasteful number, since it uses less digits than its factorization.

66167604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66167604 is about 8134.3471772478. The cubic root of 66167604 is about 404.4657977451.

It can be divided in two parts, 661 and 67604, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 66167604 in words is "sixty-six million, one hundred sixty-seven thousand, six hundred four".