61464564 has 72 divisors (see below), whose sum is σ = 178633728. Its totient is φ = 17455680.

The previous prime is 61464541. The next prime is 61464569. The reversal of 61464564 is 46546416.

61464564 is a `hidden beast` number, since 6 + 1 + 4 + 645 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61464569) 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, 47494 + ... + 48770.

It is an arithmetic number, because the mean of its divisors is an integer number (2481024).

Almost surely, 2^61464564 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 61464564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89316864).

61464564 is an abundant number, since it is smaller than the sum of its proper divisors (117169164).

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

61464564 is a wasteful number, since it uses less digits than its factorization.

61464564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 61464564 is about 7839.9339282930. The cubic root of 61464564 is about 394.6465117208.

The spelling of 61464564 in words is "sixty-one million, four hundred sixty-four thousand, five hundred sixty-four".