61500480 has 56 divisors (see below), whose sum is σ = 195267072. Its totient is φ = 16399872.

The previous prime is 61500463. The next prime is 61500521. The reversal of 61500480 is 8400516.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61500480.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31072 + ... + 32991.

It is an arithmetic number, because the mean of its divisors is an integer number (3486912).

Almost surely, 2^61500480 is an apocalyptic number.

61500480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61500480 is an abundant number, since it is smaller than the sum of its proper divisors (133766592).

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

61500480 is a wasteful number, since it uses less digits than its factorization.

61500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64083 (or 64073 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 61500480 is about 7842.2241743016. The cubic root of 61500480 is about 394.7233655656.

Adding to 61500480 its reverse (8400516), we get a palindrome (69900996).

The spelling of 61500480 in words is "sixty-one million, five hundred thousand, four hundred eighty".