61224000 has 112 divisors (see below), whose sum is σ = 202240896. Its totient is φ = 16320000.

The previous prime is 61223993. The next prime is 61224001. The reversal of 61224000 is 42216.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (61224001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22725 + ... + 25275.

Almost surely, 2^61224000 is an apocalyptic number.

61224000 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 61224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101120448).

61224000 is an abundant number, since it is smaller than the sum of its proper divisors (141016896).

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

61224000 is a wasteful number, since it uses less digits than its factorization.

61224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 61224000 is about 7824.5766658651. The cubic root of 61224000 is about 394.1309741758.

Adding to 61224000 its reverse (42216), we get a palindrome (61266216).

The spelling of 61224000 in words is "sixty-one million, two hundred twenty-four thousand".