66896742 has 64 divisors (see below), whose sum is σ = 153944064. Its totient is φ = 19182240.

The previous prime is 66896741. The next prime is 66896743. The reversal of 66896742 is 24769866.

It is an interprime number because it is at equal distance from previous prime (66896741) and next prime (66896743).

It is a junction number, because it is equal to n+sod(n) for n = 66896691 and 66896700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66896741) 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, 192613 + ... + 192959.

It is an arithmetic number, because the mean of its divisors is an integer number (2405376).

Almost surely, 2^66896742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66896742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76972032).

66896742 is an abundant number, since it is smaller than the sum of its proper divisors (87047322).

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

66896742 is a wasteful number, since it uses less digits than its factorization.

66896742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513.

The product of its digits is 870912, while the sum is 48.

The square root of 66896742 is about 8179.0428535373. The cubic root of 66896742 is about 405.9460523497.

It can be divided in two parts, 6689 and 6742, that added together give a palindrome (13431).

The spelling of 66896742 in words is "sixty-six million, eight hundred ninety-six thousand, seven hundred forty-two".