42920064 has 128 divisors (see below), whose sum is σ = 138312000. Its totient is φ = 12994560.

The previous prime is 42920041. The next prime is 42920077. The reversal of 42920064 is 46002924.

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 (27).

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, 37452 + ... + 38580.

Almost surely, 2^42920064 is an apocalyptic number.

42920064 is a gapful number since it is divisible by the number (44) 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 42920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69156000).

42920064 is an abundant number, since it is smaller than the sum of its proper divisors (95391936).

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

42920064 is a wasteful number, since it uses less digits than its factorization.

42920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42920064 is about 6551.3406261619. The cubic root of 42920064 is about 350.1225801931.

Adding to 42920064 its reverse (46002924), we get a palindrome (88922988).

The spelling of 42920064 in words is "forty-two million, nine hundred twenty thousand, sixty-four".