20965464 has 72 divisors (see below), whose sum is σ = 61520940. Its totient is φ = 6447168.

The previous prime is 20965459. The next prime is 20965481. The reversal of 20965464 is 46456902.

20965464 is a `hidden beast` number, since 20 + 96 + 546 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11307 + ... + 13029.

Almost surely, 2^20965464 is an apocalyptic number.

20965464 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 20965464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30760470).

20965464 is an abundant number, since it is smaller than the sum of its proper divisors (40555476).

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

20965464 is a wasteful number, since it uses less digits than its factorization.

20965464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20965464 is about 4578.8059578890. The cubic root of 20965464 is about 275.7410930573.

The spelling of 20965464 in words is "twenty million, nine hundred sixty-five thousand, four hundred sixty-four".