40634720 has 144 divisors (see below), whose sum is σ = 114797088. Its totient is φ = 13547520.

The previous prime is 40634719. The next prime is 40634753. The reversal of 40634720 is 2743604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40634720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556604 + ... + 556676.

It is an arithmetic number, because the mean of its divisors is an integer number (797202).

Almost surely, 2^40634720 is an apocalyptic number.

40634720 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 40634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57398544).

40634720 is an abundant number, since it is smaller than the sum of its proper divisors (74162368).

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

40634720 is a wasteful number, since it uses less digits than its factorization.

40634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 40634720 is about 6374.5368459207. The cubic root of 40634720 is about 343.7946313400.

The spelling of 40634720 in words is "forty million, six hundred thirty-four thousand, seven hundred twenty".