20146464 has 72 divisors (see below), whose sum is σ = 61710012. Its totient is φ = 6197760.

The previous prime is 20146453. The next prime is 20146471. The reversal of 20146464 is 46464102.

20146464 is a `hidden beast` number, since 2 + 0 + 14 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 1587600 = 4308^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 1054 + ... + 6434.

Almost surely, 2^20146464 is an apocalyptic number.

20146464 is a gapful number since it is divisible by the number (24) 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 20146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855006).

20146464 is an abundant number, since it is smaller than the sum of its proper divisors (41563548).

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

20146464 is a wasteful number, since it uses less digits than its factorization.

20146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20146464 is about 4488.4812576193. The cubic root of 20146464 is about 272.1027581755.

It can be divided in two parts, 201 and 46464, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 20146464 in words is "twenty million, one hundred forty-six thousand, four hundred sixty-four".