46967536 has 80 divisors (see below), whose sum is σ = 115349760. Its totient is φ = 17994240.

The previous prime is 46967533. The next prime is 46967539. The reversal of 46967536 is 63576964.

46967536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46967533) and next prime (46967539).

It is a super-4 number, since 4×46967536⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46967533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82260 + ... + 82828.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 2^46967536 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 46967536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57674880).

46967536 is an abundant number, since it is smaller than the sum of its proper divisors (68382224).

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

46967536 is a wasteful number, since it uses less digits than its factorization.

46967536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 816480, while the sum is 46.

The square root of 46967536 is about 6853.2865108647. The cubic root of 46967536 is about 360.7994988546.

It can be divided in two parts, 469 and 67536, that multiplied together give a square (31674384 = 5628²).

The spelling of 46967536 in words is "forty-six million, nine hundred sixty-seven thousand, five hundred thirty-six".