61934880 has 96 divisors (see below), whose sum is σ = 222977664. Its totient is φ = 14155776.

The previous prime is 61934863. The next prime is 61934891. The reversal of 61934880 is 8843916.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61934880² = 7671858721228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5857 + ... + 12576.

It is an arithmetic number, because the mean of its divisors is an integer number (2322684).

Almost surely, 2^61934880 is an apocalyptic number.

61934880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61934880 is an abundant number, since it is smaller than the sum of its proper divisors (161042784).

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

61934880 is a wasteful number, since it uses less digits than its factorization.

61934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18458 (or 18450 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 61934880 is about 7869.8716635025. The cubic root of 61934880 is about 395.6505436614.

The spelling of 61934880 in words is "sixty-one million, nine hundred thirty-four thousand, eight hundred eighty".