61540164 has 72 divisors (see below), whose sum is σ = 187154240. Its totient is φ = 16656192.

The previous prime is 61540163. The next prime is 61540169. The reversal of 61540164 is 46104516.

61540164 is a `hidden beast` number, since 61 + 540 + 1 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61540163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1639 + ... + 11214.

Almost surely, 2^61540164 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 61540164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93577120).

61540164 is an abundant number, since it is smaller than the sum of its proper divisors (125614076).

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

61540164 is a wasteful number, since it uses less digits than its factorization.

61540164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61540164 is about 7844.7539158345. The cubic root of 61540164 is about 394.8082474726.

It can be divided in two parts, 61 and 540164, that added together give a square (540225 = 735²).

The spelling of 61540164 in words is "sixty-one million, five hundred forty thousand, one hundred sixty-four".