61534560 has 96 divisors (see below), whose sum is σ = 205263072. Its totient is φ = 15441920.

The previous prime is 61534541. The next prime is 61534573. The reversal of 61534560 is 6543516.

61534560 = T₄₇₅ + T₄₇₆ + ... + T₇₈₀.

61534560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390 + ... + 11930.

It is an arithmetic number, because the mean of its divisors is an integer number (2138157).

Almost surely, 2^61534560 is an apocalyptic number.

61534560 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 61534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102631536).

61534560 is an abundant number, since it is smaller than the sum of its proper divisors (143728512).

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

61534560 is a wasteful number, since it uses less digits than its factorization.

61534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 61534560 is about 7844.3967263264. The cubic root of 61534560 is about 394.7962630360.

The spelling of 61534560 in words is "sixty-one million, five hundred thirty-four thousand, five hundred sixty".