46007676 has 144 divisors (see below), whose sum is σ = 142117248. Its totient is φ = 12830400.

The previous prime is 46007671. The next prime is 46007681. The reversal of 46007676 is 67670064.

It is an interprime number because it is at equal distance from previous prime (46007671) and next prime (46007681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46007676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46007671) 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, 138831 + ... + 139161.

Almost surely, 2^46007676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46007676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71058624).

46007676 is an abundant number, since it is smaller than the sum of its proper divisors (96109572).

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

46007676 is a wasteful number, since it uses less digits than its factorization.

46007676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 46007676 is about 6782.8958417478. The cubic root of 46007676 is about 358.3247160478.

The spelling of 46007676 in words is "forty-six million, seven thousand, six hundred seventy-six".