61824000 has 352 divisors, whose sum is σ = 245246976. Its totient is φ = 13516800.

The previous prime is 61823963. The next prime is 61824011. The reversal of 61824000 is 42816.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 2687989 + ... + 2688011.

Almost surely, 2^61824000 is an apocalyptic number.

61824000 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 61824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623488).

61824000 is an abundant number, since it is smaller than the sum of its proper divisors (183422976).

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

61824000 is a wasteful number, since it uses less digits than its factorization.

61824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61824000 is about 7862.8239201956. The cubic root of 61824000 is about 395.4142958591.

Adding to 61824000 its reverse (42816), we get a palindrome (61866816).

The spelling of 61824000 in words is "sixty-one million, eight hundred twenty-four thousand".