63164640 has 192 divisors, whose sum is σ = 248209920. Its totient is φ = 13117440.

The previous prime is 63164623. The next prime is 63164657. The reversal of 63164640 is 4646136.

It is an interprime number because it is at equal distance from previous prime (63164623) and next prime (63164657).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63164598 and 63164607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36106 + ... + 37814.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^63164640 is an apocalyptic number.

63164640 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 63164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

63164640 is an abundant number, since it is smaller than the sum of its proper divisors (185045280).

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

63164640 is a wasteful number, since it uses less digits than its factorization.

63164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 63164640 is about 7947.6185112271. The cubic root of 63164640 is about 398.2520393772.

The spelling of 63164640 in words is "sixty-three million, one hundred sixty-four thousand, six hundred forty".