67631520 has 96 divisors (see below), whose sum is σ = 232424640. Its totient is φ = 16394240.

The previous prime is 67631513. The next prime is 67631527. The reversal of 67631520 is 2513676.

It is an interprime number because it is at equal distance from previous prime (67631513) and next prime (67631527).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (67631527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125 + ... + 11684.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090).

Almost surely, 2^67631520 is an apocalyptic number.

67631520 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 67631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212320).

67631520 is an abundant number, since it is smaller than the sum of its proper divisors (164793120).

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

67631520 is a wasteful number, since it uses less digits than its factorization.

67631520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12838 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 67631520 is about 8223.8385198154. The cubic root of 67631520 is about 407.4269155193.

The spelling of 67631520 in words is "sixty-seven million, six hundred thirty-one thousand, five hundred twenty".