60505920 has 224 divisors, whose sum is σ = 219456000. Its totient is φ = 15685632.

The previous prime is 60505903. The next prime is 60505927. The reversal of 60505920 is 2950506.

60505920 is a `hidden beast` number, since 605 + 0 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60505927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406006 + ... + 406154.

Almost surely, 2^60505920 is an apocalyptic number.

60505920 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 60505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

60505920 is an abundant number, since it is smaller than the sum of its proper divisors (158950080).

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

60505920 is a wasteful number, since it uses less digits than its factorization.

60505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 60505920 is about 7778.5551357563. Note that the first 3 decimals coincide. The cubic root of 60505920 is about 392.5840246362.

It can be divided in two parts, 60505 and 920, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 60505920 in words is "sixty million, five hundred five thousand, nine hundred twenty".