46687680 has 336 divisors, whose sum is σ = 183062880. Its totient is φ = 10838016.

The previous prime is 46687679. The next prime is 46687681. The reversal of 46687680 is 8678664.

46687680 = T₉₆ + T₉₇ + ... + T₆₅₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46687679) and next prime (46687681).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46687681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085739 + ... + 1085781.

It is an arithmetic number, because the mean of its divisors is an integer number (544830).

Almost surely, 2^46687680 is an apocalyptic number.

46687680 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 46687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91531440).

46687680 is an abundant number, since it is smaller than the sum of its proper divisors (136375200).

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

46687680 is a wasteful number, since it uses less digits than its factorization.

46687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 46687680 is about 6832.8383560567. The cubic root of 46687680 is about 360.0814630461.

The spelling of 46687680 in words is "forty-six million, six hundred eighty-seven thousand, six hundred eighty".