62966160 has 240 divisors, whose sum is σ = 227485440. Its totient is φ = 16174080.

The previous prime is 62966149. The next prime is 62966161. The reversal of 62966160 is 6166926.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (62966161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797001 + ... + 797079.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^62966160 is an apocalyptic number.

62966160 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 62966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

62966160 is an abundant number, since it is smaller than the sum of its proper divisors (164519280).

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

62966160 is a wasteful number, since it uses less digits than its factorization.

62966160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 62966160 is about 7935.1219272296. The cubic root of 62966160 is about 397.8344639578.

The spelling of 62966160 in words is "sixty-two million, nine hundred sixty-six thousand, one hundred sixty".