61364160 has 336 divisors, whose sum is σ = 249631200. Its totient is φ = 13639680.

The previous prime is 61364131. The next prime is 61364183. The reversal of 61364160 is 6146316.

61364160 is a `hidden beast` number, since 6 + 13 + 641 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411766 + ... + 411914.

It is an arithmetic number, because the mean of its divisors is an integer number (742950).

Almost surely, 2^61364160 is an apocalyptic number.

61364160 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 61364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124815600).

61364160 is an abundant number, since it is smaller than the sum of its proper divisors (188267040).

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

61364160 is a wasteful number, since it uses less digits than its factorization.

61364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61364160 is about 7833.5279408450. The cubic root of 61364160 is about 394.4315060815.

It can be divided in two parts, 6136 and 4160, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 61364160 in words is "sixty-one million, three hundred sixty-four thousand, one hundred sixty".