61590240 has 192 divisors, whose sum is σ = 220449600. Its totient is φ = 16054272.

The previous prime is 61590239. The next prime is 61590253. The reversal of 61590240 is 4209516.

61590240 is a `hidden beast` number, since 615 + 9 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 228826 + ... + 229094.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^61590240 is an apocalyptic number.

61590240 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 61590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110224800).

61590240 is an abundant number, since it is smaller than the sum of its proper divisors (158859360).

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

61590240 is a wasteful number, since it uses less digits than its factorization.

61590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61590240 is about 7847.9449539354. The cubic root of 61590240 is about 394.9153052403.

Adding to 61590240 its reverse (4209516), we get a palindrome (65799756).

The spelling of 61590240 in words is "sixty-one million, five hundred ninety thousand, two hundred forty".