61512480 has 192 divisors, whose sum is σ = 223171200. Its totient is φ = 15805440.

The previous prime is 61512469. The next prime is 61512487. The reversal of 61512480 is 8421516.

61512480 is a `hidden beast` number, since 615 + 1 + 2 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61512487) 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, 125035 + ... + 125525.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^61512480 is an apocalyptic number.

61512480 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 61512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

61512480 is an abundant number, since it is smaller than the sum of its proper divisors (161658720).

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

61512480 is a wasteful number, since it uses less digits than its factorization.

61512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61512480 is about 7842.9892260541. The cubic root of 61512480 is about 394.7490367601.

Adding to 61512480 its reverse (8421516), we get a palindrome (69933996).

The spelling of 61512480 in words is "sixty-one million, five hundred twelve thousand, four hundred eighty".