61601520 has 80 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 16339200.

The previous prime is 61601513. The next prime is 61601549. The reversal of 61601520 is 2510616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52945 + ... + 54095.

Almost surely, 2^61601520 is an apocalyptic number.

61601520 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 61601520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856).

61601520 is an abundant number, since it is smaller than the sum of its proper divisors (130386192).

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

61601520 is a wasteful number, since it uses less digits than its factorization.

61601520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61601520 is about 7848.6635805085. The cubic root of 61601520 is about 394.9394128084.

The spelling of 61601520 in words is "sixty-one million, six hundred one thousand, five hundred twenty".