61294200 has 192 divisors, whose sum is σ = 213736320. Its totient is φ = 14400000.

The previous prime is 61294151. The next prime is 61294267. The reversal of 61294200 is 249216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244075 + ... + 244325.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^61294200 is an apocalyptic number.

61294200 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 61294200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

61294200 is an abundant number, since it is smaller than the sum of its proper divisors (152442120).

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

61294200 is a wasteful number, since it uses less digits than its factorization.

61294200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61294200 is about 7829.0612464075. The cubic root of 61294200 is about 394.2815547015.

The spelling of 61294200 in words is "sixty-one million, two hundred ninety-four thousand, two hundred".