61505376 has 48 divisors (see below), whose sum is σ = 164203200. Its totient is φ = 20152448.

The previous prime is 61505363. The next prime is 61505377. The reversal of 61505376 is 67350516.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×61505376² = 7565822553802752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61505377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 11093.

It is an arithmetic number, because the mean of its divisors is an integer number (3420900).

Almost surely, 2^61505376 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 61505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101600).

61505376 is an abundant number, since it is smaller than the sum of its proper divisors (102697824).

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

61505376 is a wasteful number, since it uses less digits than its factorization.

61505376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 61505376 is about 7842.5363244297. The cubic root of 61505376 is about 394.7338398162.

The spelling of 61505376 in words is "sixty-one million, five hundred five thousand, three hundred seventy-six".