46880680 has 128 divisors (see below), whose sum is σ = 136028160. Its totient is φ = 14112000.

The previous prime is 46880677. The next prime is 46880683. The reversal of 46880680 is 8608864.

46880680 = T₄₃₃ + T₄₃₄ + ... + T₇₁₂.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46880677) and next prime (46880683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (46880683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95235 + ... + 95725.

It is an arithmetic number, because the mean of its divisors is an integer number (1062720).

Almost surely, 2^46880680 is an apocalyptic number.

46880680 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 46880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68014080).

46880680 is an abundant number, since it is smaller than the sum of its proper divisors (89147480).

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

46880680 is a wasteful number, since it uses less digits than its factorization.

46880680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 46880680 is about 6846.9467647996. The cubic root of 46880680 is about 360.5769555043.

The spelling of 46880680 in words is "forty-six million, eight hundred eighty thousand, six hundred eighty".