46005696 has 168 divisors, whose sum is σ = 147639024. Its totient is φ = 13578240.

The previous prime is 46005691. The next prime is 46005703. The reversal of 46005696 is 69650064.

46005696 = 21³ + 22³ + ... + 116³.

It is a happy number.

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 46005696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46005691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335740 + ... + 335876.

Almost surely, 2^46005696 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 46005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73819512).

46005696 is an abundant number, since it is smaller than the sum of its proper divisors (101633328).

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

46005696 is a wasteful number, since it uses less digits than its factorization.

46005696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 46005696 is about 6782.7498848181. The cubic root of 46005696 is about 358.3195756511.

It can be divided in two parts, 4600 and 5696, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 46005696 in words is "forty-six million, five thousand, six hundred ninety-six".