40634880 has 320 divisors, whose sum is σ = 156739968. Its totient is φ = 8847360.

The previous prime is 40634809. The next prime is 40634899. The reversal of 40634880 is 8843604.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×40634880² = 3302386945228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098222 + ... + 1098258.

Almost surely, 2^40634880 is an apocalyptic number.

40634880 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 40634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

40634880 is an abundant number, since it is smaller than the sum of its proper divisors (116105088).

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

40634880 is a wasteful number, since it uses less digits than its factorization.

40634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40634880 is about 6374.5493958397. The cubic root of 40634880 is about 343.7950825720.

It can be divided in two parts, 40634 and 880, that added together give a palindrome (41514).

The spelling of 40634880 in words is "forty million, six hundred thirty-four thousand, eight hundred eighty".