42906864 has 320 divisors, whose sum is σ = 159989760. Its totient is φ = 9538560.

The previous prime is 42906847. The next prime is 42906881. The reversal of 42906864 is 46860924.

42906864 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 (42906847) and next prime (42906881).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912889 + ... + 912935.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^42906864 is an apocalyptic number.

42906864 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 42906864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

42906864 is an abundant number, since it is smaller than the sum of its proper divisors (117082896).

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

42906864 is a wasteful number, since it uses less digits than its factorization.

42906864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 42906864 is about 6550.3331213000. Note that the first 3 decimals coincide. The cubic root of 42906864 is about 350.0866832916.

The spelling of 42906864 in words is "forty-two million, nine hundred six thousand, eight hundred sixty-four".