61579440 has 400 divisors, whose sum is σ = 249546528. Its totient is φ = 13934592.

The previous prime is 61579411. The next prime is 61579451. The reversal of 61579440 is 4497516.

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 = 61579395 and 61579404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432059 + ... + 1432101.

Almost surely, 2^61579440 is an apocalyptic number.

61579440 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 61579440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124773264).

61579440 is an abundant number, since it is smaller than the sum of its proper divisors (187967088).

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

61579440 is a wasteful number, since it uses less digits than its factorization.

61579440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61579440 is about 7847.2568455480. The cubic root of 61579440 is about 394.8922207677.

The spelling of 61579440 in words is "sixty-one million, five hundred seventy-nine thousand, four hundred forty".