66126160 has 40 divisors (see below), whose sum is σ = 155704320. Its totient is φ = 26113152.

The previous prime is 66126157. The next prime is 66126163. The reversal of 66126160 is 6162166.

It is an interprime number because it is at equal distance from previous prime (66126157) and next prime (66126163).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66126163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089 + ... + 11551.

It is an arithmetic number, because the mean of its divisors is an integer number (3892608).

Almost surely, 2^66126160 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 66126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77852160).

66126160 is an abundant number, since it is smaller than the sum of its proper divisors (89578160).

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

66126160 is a wasteful number, since it uses less digits than its factorization.

66126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 66126160 is about 8131.7993088861. The cubic root of 66126160 is about 404.3813345512.

The spelling of 66126160 in words is "sixty-six million, one hundred twenty-six thousand, one hundred sixty".