40834688 has 64 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 19200000.

The previous prime is 40834621. The next prime is 40834693. The reversal of 40834688 is 88643804.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162563 + ... + 162813.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^40834688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

40834688 is an abundant number, since it is smaller than the sum of its proper divisors (45530752).

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

40834688 is a wasteful number, since it uses less digits than its factorization.

40834688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 40834688 is about 6390.2025007037. The cubic root of 40834688 is about 344.3576593783.

The spelling of 40834688 in words is "forty million, eight hundred thirty-four thousand, six hundred eighty-eight".