67061640 has 128 divisors (see below), whose sum is σ = 215424000. Its totient is φ = 16651008.

The previous prime is 67061633. The next prime is 67061647. The reversal of 67061640 is 4616076.

It is an interprime number because it is at equal distance from previous prime (67061633) and next prime (67061647).

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 = 67061598 and 67061607.

It is not an unprimeable number, because it can be changed into a prime (67061647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152541 + ... + 152979.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000).

Almost surely, 2^67061640 is an apocalyptic number.

67061640 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 67061640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000).

67061640 is an abundant number, since it is smaller than the sum of its proper divisors (148362360).

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

67061640 is a wasteful number, since it uses less digits than its factorization.

67061640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 67061640 is about 8189.1171685353. The cubic root of 67061640 is about 406.2793260092.

The spelling of 67061640 in words is "sixty-seven million, sixty-one thousand, six hundred forty".