64824000 has 224 divisors, whose sum is σ = 222845376. Its totient is φ = 16588800.

The previous prime is 64823989. The next prime is 64824031. The reversal of 64824000 is 42846.

64824000 = T₁₂₉₆ + T₁₂₉₇ + ... + T₁₃₆₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887964 + ... + 888036.

Almost surely, 2^64824000 is an apocalyptic number.

64824000 is a gapful number since it is divisible by the number (60) 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 64824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111422688).

64824000 is an abundant number, since it is smaller than the sum of its proper divisors (158021376).

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

64824000 is a wasteful number, since it uses less digits than its factorization.

64824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64824000 is about 8051.3352929809. The cubic root of 64824000 is about 401.7093515546.

Adding to 64824000 its reverse (42846), we get a palindrome (64866846).

The spelling of 64824000 in words is "sixty-four million, eight hundred twenty-four thousand".