62066000 has 40 divisors (see below), whose sum is σ = 150080424. Its totient is φ = 24825600.

The previous prime is 62065981. The next prime is 62066009. The reversal of 62066000 is 66026.

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 61089856 = 988^2 + 7816^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62066009) 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, 13517 + ... + 17516.

Almost surely, 2^62066000 is an apocalyptic number.

It is an amenable number.

62066000 is an abundant number, since it is smaller than the sum of its proper divisors (88014424).

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

62066000 is a wasteful number, since it uses less digits than its factorization.

62066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31056 (or 31040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 62066000 is about 7878.1977634482. The cubic root of 62066000 is about 395.9295524787.

The spelling of 62066000 in words is "sixty-two million, sixty-six thousand", and thus it is an eban number.