46791680 has 176 divisors, whose sum is σ = 130680480. Its totient is φ = 15925248.

The previous prime is 46791677. The next prime is 46791691. The reversal of 46791680 is 8619764.

It is a super-2 number, since 2×46791680² = 4378922634444800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1264622 + ... + 1264658.

Almost surely, 2^46791680 is an apocalyptic number.

46791680 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 46791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340240).

46791680 is an abundant number, since it is smaller than the sum of its proper divisors (83888800).

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

46791680 is a wasteful number, since it uses less digits than its factorization.

46791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 46791680 is about 6840.4444300060. Note that the first 4 decimals coincide. The cubic root of 46791680 is about 360.3486334586.

The spelling of 46791680 in words is "forty-six million, seven hundred ninety-one thousand, six hundred eighty".