64002042 has 128 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 17832960.

The previous prime is 64001941. The next prime is 64002061. The reversal of 64002042 is 24020046.

64002042 is a `hidden beast` number, since 640 + 0 + 20 + 4 + 2 = 666.

It is a super-2 number, since 2×64002042² = 8192522760339528, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 369868 + ... + 370040.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^64002042 is an apocalyptic number.

64002042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64002042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

64002042 is an abundant number, since it is smaller than the sum of its proper divisors (104374278).

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

64002042 is a wasteful number, since it uses less digits than its factorization.

64002042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 64002042 is about 8000.1276239820. The cubic root of 64002042 is about 400.0042541214.

Adding to 64002042 its reverse (24020046), we get a palindrome (88022088).

The spelling of 64002042 in words is "sixty-four million, two thousand, forty-two", and thus it is an eban number.