76632966 has 96 divisors (see below), whose sum is σ = 186426240. Its totient is φ = 23514624.

The previous prime is 76632937. The next prime is 76632967. The reversal of 76632966 is 66923667.

76632966 is a `hidden beast` number, since 7 + 6 + 632 + 9 + 6 + 6 = 666.

It is a super-2 number, since 2×76632966² = 11745222955914312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76632967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396966 + ... + 397158.

It is an arithmetic number, because the mean of its divisors is an integer number (1941940).

Almost surely, 2^76632966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76632966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93213120).

76632966 is an abundant number, since it is smaller than the sum of its proper divisors (109793274).

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

76632966 is a wasteful number, since it uses less digits than its factorization.

76632966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 76632966 is about 8754.0257024983. The cubic root of 76632966 is about 424.7550440791.

The spelling of 76632966 in words is "seventy-six million, six hundred thirty-two thousand, nine hundred sixty-six".