61949760 has 112 divisors (see below), whose sum is σ = 201021696. Its totient is φ = 16156672.

The previous prime is 61949753. The next prime is 61949761. The reversal of 61949760 is 6794916.

It is a cake number, because a cake can be divided into 61949760 parts by 719 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61949761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44434 + ... + 45806.

Almost surely, 2^61949760 is an apocalyptic number.

61949760 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 61949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100510848).

61949760 is an abundant number, since it is smaller than the sum of its proper divisors (139071936).

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

61949760 is a wasteful number, since it uses less digits than its factorization.

61949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 61949760 is about 7870.8169842781. The cubic root of 61949760 is about 395.6822264476.

The spelling of 61949760 in words is "sixty-one million, nine hundred forty-nine thousand, seven hundred sixty".