61501680 has 100 divisors (see below), whose sum is σ = 213626952. Its totient is φ = 16398720.

The previous prime is 61501669. The next prime is 61501717. The reversal of 61501680 is 8610516.

61501680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1735 + ... + 11225.

Almost surely, 2^61501680 is an apocalyptic number.

61501680 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 61501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106813476).

61501680 is an abundant number, since it is smaller than the sum of its proper divisors (152125272).

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

61501680 is a wasteful number, since it uses less digits than its factorization.

61501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 61501680 is about 7842.3006828354. The cubic root of 61501680 is about 394.7259328353.

The spelling of 61501680 in words is "sixty-one million, five hundred one thousand, six hundred eighty".