61486964 has 108 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 22407840.

The previous prime is 61486961. The next prime is 61486969. The reversal of 61486964 is 46968416.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61486961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 778277 + ... + 778355.

It is an arithmetic number, because the mean of its divisors is an integer number (1351280).

Almost surely, 2^61486964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61486964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

61486964 is an abundant number, since it is smaller than the sum of its proper divisors (84451276).

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

61486964 is a wasteful number, since it uses less digits than its factorization.

61486964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 61486964 is about 7841.3623816273. The cubic root of 61486964 is about 394.6944472445.

It can be divided in two parts, 614 and 86964, that added together give a palindrome (87578).

The spelling of 61486964 in words is "sixty-one million, four hundred eighty-six thousand, nine hundred sixty-four".