61361664 has 160 divisors (see below), whose sum is σ = 201653760. Its totient is φ = 16146432.

The previous prime is 61361647. The next prime is 61361681. The reversal of 61361664 is 46616316.

It is an interprime number because it is at equal distance from previous prime (61361647) and next prime (61361681).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139557 + ... + 139995.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^61361664 is an apocalyptic number.

61361664 is a gapful number since it is divisible by the number (64) 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 61361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

61361664 is an abundant number, since it is smaller than the sum of its proper divisors (140292096).

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

61361664 is a wasteful number, since it uses less digits than its factorization.

61361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 61361664 is about 7833.3686240340. The cubic root of 61361664 is about 394.4261581478.

The spelling of 61361664 in words is "sixty-one million, three hundred sixty-one thousand, six hundred sixty-four".