62940960 has 144 divisors (see below), whose sum is σ = 217297080. Its totient is φ = 16588800.

The previous prime is 62940947. The next prime is 62940961. The reversal of 62940960 is 6904926.

It can be written as a sum of positive squares in 4 ways, for example, as 62916624 + 24336 = 7932^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (62940961) 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, 156760 + ... + 157160.

Almost surely, 2^62940960 is an apocalyptic number.

62940960 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 62940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108648540).

62940960 is an abundant number, since it is smaller than the sum of its proper divisors (154356120).

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

62940960 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (62940959) it forms an eRAP, since the sums of their prime factors are consecutive (530 and 531).

62940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

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

The square root of 62940960 is about 7933.5338910223. The cubic root of 62940960 is about 397.7813837730.

The spelling of 62940960 in words is "sixty-two million, nine hundred forty thousand, nine hundred sixty".