61849200 has 240 divisors, whose sum is σ = 233715200. Its totient is φ = 13685760.

The previous prime is 61849189. The next prime is 61849211. The reversal of 61849200 is 294816.

It is an interprime number because it is at equal distance from previous prime (61849189) and next prime (61849211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310701 + ... + 310899.

Almost surely, 2^61849200 is an apocalyptic number.

61849200 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 61849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116857600).

61849200 is an abundant number, since it is smaller than the sum of its proper divisors (171866000).

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

61849200 is a wasteful number, since it uses less digits than its factorization.

61849200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 61849200 is about 7864.4262346340. The cubic root of 61849200 is about 395.4680133296.

The spelling of 61849200 in words is "sixty-one million, eight hundred forty-nine thousand, two hundred".