40737920 has 64 divisors (see below), whose sum is σ = 99309240. Its totient is φ = 15974400.

The previous prime is 40737913. The next prime is 40737923. The reversal of 40737920 is 2973704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22963264 + 17774656 = 4792^2 + 4216^2 .

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 (32).

It is not an unprimeable number, because it can be changed into a prime (40737923) by changing a digit.

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, 33320 + ... + 34520.

Almost surely, 2^40737920 is an apocalyptic number.

40737920 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 40737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49654620).

40737920 is an abundant number, since it is smaller than the sum of its proper divisors (58571320).

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

40737920 is a wasteful number, since it uses less digits than its factorization.

40737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 40737920 is about 6382.6264186462. The cubic root of 40737920 is about 344.0854303776.

The spelling of 40737920 in words is "forty million, seven hundred thirty-seven thousand, nine hundred twenty".