61514880 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 13381632.

The previous prime is 61514879. The next prime is 61514899. The reversal of 61514880 is 8841516.

It is a super-2 number, since 2×61514880² = 7568160922828800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309021 + ... + 309219.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^61514880 is an apocalyptic number.

61514880 is a gapful number since it is divisible by the number (60) 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 61514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

61514880 is an abundant number, since it is smaller than the sum of its proper divisors (173493120).

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

61514880 is a wasteful number, since it uses less digits than its factorization.

61514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 61514880 is about 7843.1422274494. The cubic root of 61514880 is about 394.7541705984.

The spelling of 61514880 in words is "sixty-one million, five hundred fourteen thousand, eight hundred eighty".