67961520 has 120 divisors (see below), whose sum is σ = 249015312. Its totient is φ = 16473600.

The previous prime is 67961507. The next prime is 67961533. The reversal of 67961520 is 2516976.

67961520 is a `hidden beast` number, since 6 + 79 + 61 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (67961507) and next prime (67961533).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3630 + ... + 12210.

Almost surely, 2^67961520 is an apocalyptic number.

67961520 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 67961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124507656).

67961520 is an abundant number, since it is smaller than the sum of its proper divisors (181053792).

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

67961520 is a wasteful number, since it uses less digits than its factorization.

67961520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 67961520 is about 8243.8777283509. The cubic root of 67961520 is about 408.0885044447.

The spelling of 67961520 in words is "sixty-seven million, nine hundred sixty-one thousand, five hundred twenty".