1146416720 has 40 divisors (see below), whose sum is σ = 2675304960. Its totient is φ = 456865920.

The previous prime is 1146416717. The next prime is 1146416723. The reversal of 1146416720 is 276146411.

It is an interprime number because it is at equal distance from previous prime (1146416717) and next prime (1146416723).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146416723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4760 + ... + 48119.

It is an arithmetic number, because the mean of its divisors is an integer number (66882624).

Almost surely, 2^1146416720 is an apocalyptic number.

1146416720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146416720 is an abundant number, since it is smaller than the sum of its proper divisors (1528888240).

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

1146416720 is a wasteful number, since it uses less digits than its factorization.

1146416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53163 (or 53157 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1146416720 is about 33858.7761149159. The cubic root of 1146416720 is about 1046.6002572350.

The spelling of 1146416720 in words is "one billion, one hundred forty-six million, four hundred sixteen thousand, seven hundred twenty".