67463040 has 128 divisors (see below), whose sum is σ = 220540320. Its totient is φ = 17530880.

The previous prime is 67463029. The next prime is 67463059. The reversal of 67463040 is 4036476.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 67462989 and 67463007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78292 + ... + 79148.

Almost surely, 2^67463040 is an apocalyptic number.

67463040 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 67463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110270160).

67463040 is an abundant number, since it is smaller than the sum of its proper divisors (153077280).

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

67463040 is a wasteful number, since it uses less digits than its factorization.

67463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 67463040 is about 8213.5887406176. The cubic root of 67463040 is about 407.0883141990.

The spelling of 67463040 in words is "sixty-seven million, four hundred sixty-three thousand, forty".