61850880 has 432 divisors, whose sum is σ = 267845760. Its totient is φ = 12828672.

The previous prime is 61850863. The next prime is 61850891. The reversal of 61850880 is 8805816.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048291 + ... + 1048349.

Almost surely, 2^61850880 is an apocalyptic number.

61850880 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 61850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

61850880 is an abundant number, since it is smaller than the sum of its proper divisors (205994880).

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

61850880 is a wasteful number, since it uses less digits than its factorization.

61850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 61850880 is about 7864.5330439893. The cubic root of 61850880 is about 395.4715939755.

The spelling of 61850880 in words is "sixty-one million, eight hundred fifty thousand, eight hundred eighty".