66885504 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 18868224.

The previous prime is 66885499. The next prime is 66885551. The reversal of 66885504 is 40558866.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400429 + ... + 400595.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^66885504 is an apocalyptic number.

66885504 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 66885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

66885504 is an abundant number, since it is smaller than the sum of its proper divisors (138746496).

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

66885504 is a wasteful number, since it uses less digits than its factorization.

66885504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 66885504 is about 8178.3558249810. The cubic root of 66885504 is about 405.9233194179.

The spelling of 66885504 in words is "sixty-six million, eight hundred eighty-five thousand, five hundred four".