46761120 has 144 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 10685952.

The previous prime is 46761083. The next prime is 46761131. The reversal of 46761120 is 2116764.

46761120 is a `hidden beast` number, since 46 + 7 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7761 + ... + 12399.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720).

Almost surely, 2^46761120 is an apocalyptic number.

46761120 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 46761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

46761120 is an abundant number, since it is smaller than the sum of its proper divisors (135646560).

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

46761120 is a wasteful number, since it uses less digits than its factorization.

46761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 46761120 is about 6838.2102921744. The cubic root of 46761120 is about 360.2701675682.

Adding to 46761120 its reverse (2116764), we get a palindrome (48877884).

The spelling of 46761120 in words is "forty-six million, seven hundred sixty-one thousand, one hundred twenty".