60765840 has 120 divisors (see below), whose sum is σ = 209679288. Its totient is φ = 15759360.

The previous prime is 60765833. The next prime is 60765841. The reversal of 60765840 is 4856706.

It is a happy number.

60765840 is a `hidden beast` number, since 6 + 0 + 76 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 41370624 = 4404^2 + 6432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 60765795 and 60765804.

It is not an unprimeable number, because it can be changed into a prime (60765841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25500 + ... + 27780.

Almost surely, 2^60765840 is an apocalyptic number.

60765840 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 60765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104839644).

60765840 is an abundant number, since it is smaller than the sum of its proper divisors (148913448).

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

60765840 is a wasteful number, since it uses less digits than its factorization.

60765840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 60765840 is about 7795.2447043053. The cubic root of 60765840 is about 393.1453728648.

The spelling of 60765840 in words is "sixty million, seven hundred sixty-five thousand, eight hundred forty".