46106528 has 48 divisors (see below), whose sum is σ = 98589960. Its totient is φ = 21098496.

The previous prime is 46106527. The next prime is 46106561. The reversal of 46106528 is 82560164.

It can be written as a sum of positive squares in 4 ways, for example, as 41319184 + 4787344 = 6428^2 + 2188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46106494 and 46106503.

It is not an unprimeable number, because it can be changed into a prime (46106527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56588 + ... + 57396.

Almost surely, 2^46106528 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 46106528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294980).

46106528 is an abundant number, since it is smaller than the sum of its proper divisors (52483432).

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

46106528 is a wasteful number, since it uses less digits than its factorization.

46106528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 46106528 is about 6790.1787899878. The cubic root of 46106528 is about 358.5811643884.

The spelling of 46106528 in words is "forty-six million, one hundred six thousand, five hundred twenty-eight".