940045680 has 360 divisors, whose sum is σ = 3758423136. Its totient is φ = 206115840.

The previous prime is 940045669. The next prime is 940045681. The reversal of 940045680 is 86540049.

940045680 is a `hidden beast` number, since 94 + 0 + 0 + 4 + 568 + 0 = 666.

940045680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940045681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13240045 + ... + 13240115.

Almost surely, 2^940045680 is an apocalyptic number.

940045680 is a gapful number since it is divisible by the number (90) 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 940045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879211568).

940045680 is an abundant number, since it is smaller than the sum of its proper divisors (2818377456).

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

940045680 is a wasteful number, since it uses less digits than its factorization.

940045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 940045680 is about 30660.1643831210. The cubic root of 940045680 is about 979.6019763640.

The spelling of 940045680 in words is "nine hundred forty million, forty-five thousand, six hundred eighty".