62007066 has 64 divisors (see below), whose sum is σ = 151603200. Its totient is φ = 18630000.

The previous prime is 62007061. The next prime is 62007067. The reversal of 62007066 is 66070026.

62007066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (62007061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82191 + ... + 82941.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 2^62007066 is an apocalyptic number.

62007066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 62007066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75801600).

62007066 is an abundant number, since it is smaller than the sum of its proper divisors (89596134).

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

62007066 is a wasteful number, since it uses less digits than its factorization.

62007066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 62007066 is about 7874.4565526771. The cubic root of 62007066 is about 395.8041961292.

The spelling of 62007066 in words is "sixty-two million, seven thousand, sixty-six".