61451880 has 128 divisors (see below), whose sum is σ = 215136000. Its totient is φ = 14036736.

The previous prime is 61451879. The next prime is 61451881. The reversal of 61451880 is 8815416.

It is an interprime number because it is at equal distance from previous prime (61451879) and next prime (61451881).

It is not an unprimeable number, because it can be changed into a prime (61451881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40414 + ... + 41906.

It is an arithmetic number, because the mean of its divisors is an integer number (1680750).

Almost surely, 2^61451880 is an apocalyptic number.

61451880 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 61451880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107568000).

61451880 is an abundant number, since it is smaller than the sum of its proper divisors (153684120).

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

61451880 is a wasteful number, since it uses less digits than its factorization.

61451880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

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

The square root of 61451880 is about 7839.1249511664. The cubic root of 61451880 is about 394.6193630658.

The spelling of 61451880 in words is "sixty-one million, four hundred fifty-one thousand, eight hundred eighty".