46836864 has 96 divisors (see below), whose sum is σ = 136379100. Its totient is φ = 15427584.

The previous prime is 46836859. The next prime is 46836871. The reversal of 46836864 is 46863864.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 705600 = 6792^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125382 + ... + 125754.

Almost surely, 2^46836864 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 46836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68189550).

46836864 is an abundant number, since it is smaller than the sum of its proper divisors (89542236).

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

46836864 is a wasteful number, since it uses less digits than its factorization.

46836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 46836864 is about 6843.7463424648. The cubic root of 46836864 is about 360.4645853729.

Subtracting 46836864 from its reverse (46863864), we obtain a cube (27000 = 30³).

The spelling of 46836864 in words is "forty-six million, eight hundred thirty-six thousand, eight hundred sixty-four".