61463760 has 80 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 15823360.

The previous prime is 61463749. The next prime is 61463761. The reversal of 61463760 is 6736416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61463761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545 + ... + 11375.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 2^61463760 is an apocalyptic number.

61463760 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 61463760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

61463760 is an abundant number, since it is smaller than the sum of its proper divisors (135666480).

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

61463760 is a wasteful number, since it uses less digits than its factorization.

61463760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 61463760 is about 7839.8826521830. The cubic root of 61463760 is about 394.6447909614.

The spelling of 61463760 in words is "sixty-one million, four hundred sixty-three thousand, seven hundred sixty".