46071564 has 144 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 11235840.

The previous prime is 46071563. The next prime is 46071587. The reversal of 46071564 is 46517064.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (46071563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109747 + ... + 110165.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^46071564 is an apocalyptic number.

46071564 is a gapful number since it is divisible by the number (44) 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 46071564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

46071564 is an abundant number, since it is smaller than the sum of its proper divisors (98717556).

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

46071564 is a wasteful number, since it uses less digits than its factorization.

46071564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 46071564 is about 6787.6037008653. The cubic root of 46071564 is about 358.4905004203.

The spelling of 46071564 in words is "forty-six million, seventy-one thousand, five hundred sixty-four".