61610880 has 64 divisors (see below), whose sum is σ = 196390800. Its totient is φ = 16429056.

The previous prime is 61610851. The next prime is 61610881. The reversal of 61610880 is 8801616.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61610881) 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 7 ways as a sum of consecutive naturals, for example, 14125 + ... + 17964.

Almost surely, 2^61610880 is an apocalyptic number.

61610880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61610880 is an abundant number, since it is smaller than the sum of its proper divisors (134779920).

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

61610880 is a wasteful number, since it uses less digits than its factorization.

61610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32111 (or 32099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 61610880 is about 7849.2598377172. The cubic root of 61610880 is about 394.9594147267.

The spelling of 61610880 in words is "sixty-one million, six hundred ten thousand, eight hundred eighty".