62064 has 30 divisors (see below), whose sum is σ = 174096. Its totient is φ = 20640.

The previous prime is 62057. The next prime is 62071. The reversal of 62064 is 46026.

62064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62057) and next prime (62071).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72 + ... + 359.

2⁶²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

62064 is an abundant number, since it is smaller than the sum of its proper divisors (112032).

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

62064 is a wasteful number, since it uses less digits than its factorization.

62064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 62064 is about 249.1264739043. The cubic root of 62064 is about 39.5925299653.

Subtracting from 62064 its product of nonzero digits (288), we obtain a triangular number (61776 = T₃₅₁).

The spelling of 62064 in words is "sixty-two thousand, sixty-four", and thus it is an eban number.