61042800 has 360 divisors, whose sum is σ = 247615104. Its totient is φ = 12579840.

The previous prime is 61042783. The next prime is 61042811. The reversal of 61042800 is 824016.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419579 + ... + 1419621.

Almost surely, 2^61042800 is an apocalyptic number.

61042800 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 61042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123807552).

61042800 is an abundant number, since it is smaller than the sum of its proper divisors (186572304).

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

61042800 is a wasteful number, since it uses less digits than its factorization.

61042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

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

The square root of 61042800 is about 7812.9891846847. The cubic root of 61042800 is about 393.7417634961.

Adding to 61042800 its reverse (824016), we get a palindrome (61866816).

The spelling of 61042800 in words is "sixty-one million, forty-two thousand, eight hundred".