62112960 has 448 divisors, whose sum is σ = 273100800. Its totient is φ = 12939264.

The previous prime is 62112959. The next prime is 62112961. The reversal of 62112960 is 6921126.

It is an interprime number because it is at equal distance from previous prime (62112959) and next prime (62112961).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62112961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786201 + ... + 786279.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 2^62112960 is an apocalyptic number.

62112960 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 62112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

62112960 is an abundant number, since it is smaller than the sum of its proper divisors (210987840).

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

62112960 is a wasteful number, since it uses less digits than its factorization.

62112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 62112960 is about 7881.1775769868. The cubic root of 62112960 is about 396.0293825765.

The spelling of 62112960 in words is "sixty-two million, one hundred twelve thousand, nine hundred sixty".