61719840 has 384 divisors, whose sum is σ = 267563520. Its totient is φ = 12939264.

The previous prime is 61719829. The next prime is 61719887. The reversal of 61719840 is 4891716.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61719795 and 61719804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393042 + ... + 393198.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 2^61719840 is an apocalyptic number.

61719840 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 61719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133781760).

61719840 is an abundant number, since it is smaller than the sum of its proper divisors (205843680).

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

61719840 is a wasteful number, since it uses less digits than its factorization.

61719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 61719840 is about 7856.1975535242. The cubic root of 61719840 is about 395.1921086570.

The spelling of 61719840 in words is "sixty-one million, seven hundred nineteen thousand, eight hundred forty".