61526080 has 168 divisors, whose sum is σ = 184855104. Its totient is φ = 19092480.

The previous prime is 61526053. The next prime is 61526083. The reversal of 61526080 is 8062516.

61526080 = 192² + 193² + ... + 576².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61526083) 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, 270927 + ... + 271153.

It is an arithmetic number, because the mean of its divisors is an integer number (1100328).

Almost surely, 2^61526080 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 61526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92427552).

61526080 is an abundant number, since it is smaller than the sum of its proper divisors (123329024).

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

61526080 is a wasteful number, since it uses less digits than its factorization.

61526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 61526080 is about 7843.8561945003. The cubic root of 61526080 is about 394.7781267447.

Adding to 61526080 its reverse (8062516), we get a palindrome (69588596).

The spelling of 61526080 in words is "sixty-one million, five hundred twenty-six thousand, eighty".