61146360 has 128 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 14820480.

The previous prime is 61146359. The next prime is 61146383. The reversal of 61146360 is 6364116.

61146360 is a `hidden beast` number, since 611 + 46 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9307 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (1737450).

Almost surely, 2^61146360 is an apocalyptic number.

61146360 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 61146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

61146360 is an abundant number, since it is smaller than the sum of its proper divisors (161247240).

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

61146360 is a wasteful number, since it uses less digits than its factorization.

61146360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5168 counting only the distinct ones).

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

The square root of 61146360 is about 7819.6138012053. The cubic root of 61146360 is about 393.9643005781.

It can be divided in two parts, 611 and 46360, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 61146360 in words is "sixty-one million, one hundred forty-six thousand, three hundred sixty".