42064000 has 128 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 15232000.

The previous prime is 42063979. The next prime is 42064037. The reversal of 42064000 is 46024.

42064000 = T₂₇₆₀ + T₂₇₆₁ + ... + T₂₇₇₀.

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 (16).

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, 175881 + ... + 176119.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^42064000 is an apocalyptic number.

42064000 is a gapful number since it is divisible by the number (40) 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 42064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

42064000 is an abundant number, since it is smaller than the sum of its proper divisors (72502400).

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

42064000 is a wasteful number, since it uses less digits than its factorization.

42064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42064000 is about 6485.6765260071. The cubic root of 42064000 is about 347.7791349667.

The spelling of 42064000 in words is "forty-two million, sixty-four thousand", and thus it is an eban number.