61164360 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 15240192.

The previous prime is 61164347. The next prime is 61164379. The reversal of 61164360 is 6346116.

61164360 is a `hidden beast` number, since 6 + 11 + 643 + 6 + 0 = 666.

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, 687196 + ... + 687284.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^61164360 is an apocalyptic number.

61164360 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 61164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

61164360 is an abundant number, since it is smaller than the sum of its proper divisors (151120440).

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

61164360 is a wasteful number, since it uses less digits than its factorization.

61164360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

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

The square root of 61164360 is about 7820.7646684963. The cubic root of 61164360 is about 394.0029546189.

The spelling of 61164360 in words is "sixty-one million, one hundred sixty-four thousand, three hundred sixty".