61534200 has 384 divisors, whose sum is σ = 249984000. Its totient is φ = 12418560.

The previous prime is 61534189. The next prime is 61534273. The reversal of 61534200 is 243516.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 2675389 + ... + 2675411.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^61534200 is an apocalyptic number.

61534200 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 61534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

61534200 is an abundant number, since it is smaller than the sum of its proper divisors (188449800).

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

61534200 is a wasteful number, since it uses less digits than its factorization.

61534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 61534200 is about 7844.3737799776. The cubic root of 61534200 is about 394.7954931330.

Adding to 61534200 its reverse (243516), we get a palindrome (61777716).

The spelling of 61534200 in words is "sixty-one million, five hundred thirty-four thousand, two hundred".