61158240 has 432 divisors, whose sum is σ = 256196304. Its totient is φ = 13685760.

The previous prime is 61158217. The next prime is 61158259. The reversal of 61158240 is 4285116.

61158240 is a `hidden beast` number, since 611 + 5 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 4704474 + ... + 4704486.

It is an arithmetic number, because the mean of its divisors is an integer number (593047).

Almost surely, 2^61158240 is an apocalyptic number.

61158240 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 61158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128098152).

61158240 is an abundant number, since it is smaller than the sum of its proper divisors (195038064).

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

61158240 is a wasteful number, since it uses less digits than its factorization.

61158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61158240 is about 7820.3733926201. The cubic root of 61158240 is about 393.9898130961.

The spelling of 61158240 in words is "sixty-one million, one hundred fifty-eight thousand, two hundred forty".