61006920 has 64 divisors (see below), whose sum is σ = 197104320. Its totient is φ = 15016704.

The previous prime is 61006873. The next prime is 61006927. The reversal of 61006920 is 2960016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61006927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17994 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (3079755).

Almost surely, 2^61006920 is an apocalyptic number.

61006920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61006920 is an abundant number, since it is smaller than the sum of its proper divisors (136097400).

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

61006920 is a wasteful number, since it uses less digits than its factorization.

61006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39134 (or 39130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 61006920 is about 7810.6926709479. The cubic root of 61006920 is about 393.6646032996.

Adding to 61006920 its reverse (2960016), we get a palindrome (63966936).

The spelling of 61006920 in words is "sixty-one million, six thousand, nine hundred twenty".