62646480 has 320 divisors, whose sum is σ = 244984320. Its totient is φ = 14598144.

The previous prime is 62646473. The next prime is 62646481. The reversal of 62646480 is 8464626.

It is a happy number.

62646480 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62646481) 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, 645792 + ... + 645888.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^62646480 is an apocalyptic number.

62646480 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 62646480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

62646480 is an abundant number, since it is smaller than the sum of its proper divisors (182337840).

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

62646480 is a wasteful number, since it uses less digits than its factorization.

62646480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 62646480 is about 7914.9529373206. The cubic root of 62646480 is about 397.1600511113.

The spelling of 62646480 in words is "sixty-two million, six hundred forty-six thousand, four hundred eighty".