61629768 has 64 divisors (see below), whose sum is σ = 180216000. Its totient is φ = 19460736.

The previous prime is 61629761. The next prime is 61629773. The reversal of 61629768 is 86792616.

61629768 is a `hidden beast` number, since 616 + 29 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (61629761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3405 + ... + 11612.

It is an arithmetic number, because the mean of its divisors is an integer number (2815875).

Almost surely, 2^61629768 is an apocalyptic number.

It is an amenable number.

61629768 is an abundant number, since it is smaller than the sum of its proper divisors (118586232).

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

61629768 is a wasteful number, since it uses less digits than its factorization.

61629768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15051 (or 15041 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 61629768 is about 7850.4629162872. The cubic root of 61629768 is about 394.9997714040. Note that the first 3 decimals are identical.

The spelling of 61629768 in words is "sixty-one million, six hundred twenty-nine thousand, seven hundred sixty-eight".