64821824 has 28 divisors (see below), whose sum is σ = 129587244. Its totient is φ = 32169984.

The previous prime is 64821821. The next prime is 64821829. The reversal of 64821824 is 42812846.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 41473600 = 4832^2 + 6440^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64821821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5072 + ... + 12464.

Almost surely, 2^64821824 is an apocalyptic number.

64821824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64821824 is a deficient number, since it is larger than the sum of its proper divisors (64765420).

64821824 is a wasteful number, since it uses less digits than its factorization.

64821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7542 (or 7532 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 64821824 is about 8051.2001589825. The cubic root of 64821824 is about 401.7048566693.

The spelling of 64821824 in words is "sixty-four million, eight hundred twenty-one thousand, eight hundred twenty-four".