59961006 has 192 divisors, whose sum is σ = 173352960. Its totient is φ = 15240960.

The previous prime is 59961001. The next prime is 59961029. The reversal of 59961006 is 60016995.

59961006 is a `hidden beast` number, since 599 + 61 + 0 + 0 + 6 = 666.

59961006 is nontrivially palindromic in base 5.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59961001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1394421 + ... + 1394463.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 2^59961006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59961006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86676480).

59961006 is an abundant number, since it is smaller than the sum of its proper divisors (113391954).

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

59961006 is a wasteful number, since it uses less digits than its factorization.

59961006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 59961006 is about 7743.4492314472. The cubic root of 59961006 is about 391.4019366551.

The spelling of 59961006 in words is "fifty-nine million, nine hundred sixty-one thousand, six".