40764120 has 96 divisors (see below), whose sum is σ = 129204720. Its totient is φ = 10287360.

The previous prime is 40764089. The next prime is 40764131. The reversal of 40764120 is 2146704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42850 + ... + 43790.

Almost surely, 2^40764120 is an apocalyptic number.

40764120 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 40764120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64602360).

40764120 is an abundant number, since it is smaller than the sum of its proper divisors (88440600).

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

40764120 is a wasteful number, since it uses less digits than its factorization.

40764120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40764120 is about 6384.6785353689. The cubic root of 40764120 is about 344.1591790810.

The spelling of 40764120 in words is "forty million, seven hundred sixty-four thousand, one hundred twenty".