61950240 has 144 divisors (see below), whose sum is σ = 230682816. Its totient is φ = 15014400.

The previous prime is 61950211. The next prime is 61950263. The reversal of 61950240 is 4205916.

61950240 is a `hidden beast` number, since 619 + 5 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13885 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (1601964).

Almost surely, 2^61950240 is an apocalyptic number.

61950240 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 61950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115341408).

61950240 is an abundant number, since it is smaller than the sum of its proper divisors (168732576).

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

61950240 is a wasteful number, since it uses less digits than its factorization.

61950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61950240 is about 7870.8474766063. The cubic root of 61950240 is about 395.6832483885.

The spelling of 61950240 in words is "sixty-one million, nine hundred fifty thousand, two hundred forty".