240619680 has 384 divisors, whose sum is σ = 984614400. Its totient is φ = 53747712.

The previous prime is 240619669. The next prime is 240619681. The reversal of 240619680 is 86916042.

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

It is not an unprimeable number, because it can be changed into a prime (240619681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2207466 + ... + 2207574.

It is an arithmetic number, because the mean of its divisors is an integer number (2564100).

Almost surely, 2^240619680 is an apocalyptic number.

240619680 is a gapful number since it is divisible by the number (20) 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 240619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492307200).

240619680 is an abundant number, since it is smaller than the sum of its proper divisors (743994720).

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

240619680 is a wasteful number, since it uses less digits than its factorization.

240619680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

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

The square root of 240619680 is about 15511.9205774140. The cubic root of 240619680 is about 621.9808998040.

The spelling of 240619680 in words is "two hundred forty million, six hundred nineteen thousand, six hundred eighty".