59970960 has 240 divisors, whose sum is σ = 234758784. Its totient is φ = 13436928.

The previous prime is 59970949. The next prime is 59970971. The reversal of 59970960 is 6907995.

It is an interprime number because it is at equal distance from previous prime (59970949) and next prime (59970971).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367839 + ... + 368001.

Almost surely, 2^59970960 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 59970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117379392).

59970960 is an abundant number, since it is smaller than the sum of its proper divisors (174787824).

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

59970960 is a wasteful number, since it uses less digits than its factorization.

59970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 59970960 is about 7744.0919416030. The cubic root of 59970960 is about 391.4235940597.

The spelling of 59970960 in words is "fifty-nine million, nine hundred seventy thousand, nine hundred sixty".