61849600 has 90 divisors (see below), whose sum is σ = 154398104. Its totient is φ = 24576000.

The previous prime is 61849589. The next prime is 61849631. The reversal of 61849600 is 694816.

61849600 is nontrivially palindromic in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409525 + ... + 409675.

Almost surely, 2^61849600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199052).

61849600 is an abundant number, since it is smaller than the sum of its proper divisors (92548504).

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

61849600 is an equidigital number, since it uses as much as digits as its factorization.

61849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 61849600 is about 7864.4516655645. The cubic root of 61849600 is about 395.4688658702.

The spelling of 61849600 in words is "sixty-one million, eight hundred forty-nine thousand, six hundred".