61352064 has 96 divisors (see below), whose sum is σ = 185905200. Its totient is φ = 19367424.

The previous prime is 61352051. The next prime is 61352117. The reversal of 61352064 is 46025316.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20487 + ... + 23289.

Almost surely, 2^61352064 is an apocalyptic number.

61352064 is a gapful number since it is divisible by the number (64) 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 61352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92952600).

61352064 is an abundant number, since it is smaller than the sum of its proper divisors (124553136).

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

61352064 is a wasteful number, since it uses less digits than its factorization.

61352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61352064 is about 7832.7558368687. The cubic root of 61352064 is about 394.4055878201.

The spelling of 61352064 in words is "sixty-one million, three hundred fifty-two thousand, sixty-four".