64824240 has 160 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 15694848.

The previous prime is 64824211. The next prime is 64824241. The reversal of 64824240 is 4242846.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64824198 and 64824207.

It is not an unprimeable number, because it can be changed into a prime (64824241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246349 + ... + 246611.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^64824240 is an apocalyptic number.

64824240 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 64824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

64824240 is an abundant number, since it is smaller than the sum of its proper divisors (155161680).

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

64824240 is a wasteful number, since it uses less digits than its factorization.

64824240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 64824240 is about 8051.3501973272. The cubic root of 64824240 is about 401.7098473078.

The spelling of 64824240 in words is "sixty-four million, eight hundred twenty-four thousand, two hundred forty".