61576704 has 240 divisors, whose sum is σ = 214486272. Its totient is φ = 16625664.

The previous prime is 61576693. The next prime is 61576717. The reversal of 61576704 is 40767516.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 741847 + ... + 741929.

Almost surely, 2^61576704 is an apocalyptic number.

61576704 is a gapful number since it is divisible by the number (64) 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 61576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

61576704 is an abundant number, since it is smaller than the sum of its proper divisors (152909568).

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

61576704 is a wasteful number, since it uses less digits than its factorization.

61576704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 61576704 is about 7847.0825151772. The cubic root of 61576704 is about 394.8863722729.

The spelling of 61576704 in words is "sixty-one million, five hundred seventy-six thousand, seven hundred four".