61968240 has 200 divisors, whose sum is σ = 219838608. Its totient is φ = 16174080.

The previous prime is 61968239. The next prime is 61968241. The reversal of 61968240 is 4286916.

61968240 = 54³ + 55³ + ... + 126³.

It is an interprime number because it is at equal distance from previous prime (61968239) and next prime (61968241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61968195 and 61968204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61968241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472975 + ... + 473105.

Almost surely, 2^61968240 is an apocalyptic number.

61968240 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 61968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109919304).

61968240 is an abundant number, since it is smaller than the sum of its proper divisors (157870368).

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

61968240 is a wasteful number, since it uses less digits than its factorization.

61968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61968240 is about 7871.9908536532. The cubic root of 61968240 is about 395.7215673618.

The spelling of 61968240 in words is "sixty-one million, nine hundred sixty-eight thousand, two hundred forty".