61236540 has 96 divisors (see below), whose sum is σ = 192030720. Its totient is φ = 16200000.

The previous prime is 61236521. The next prime is 61236541. The reversal of 61236540 is 4563216.

61236540 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 654 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61236541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81165 + ... + 81915.

It is an arithmetic number, because the mean of its divisors is an integer number (2000320).

Almost surely, 2^61236540 is an apocalyptic number.

61236540 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 61236540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96015360).

61236540 is an abundant number, since it is smaller than the sum of its proper divisors (130794180).

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

61236540 is a wasteful number, since it uses less digits than its factorization.

61236540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61236540 is about 7825.3779461442. The cubic root of 61236540 is about 394.1578811895.

Adding to 61236540 its reverse (4563216), we get a palindrome (65799756).

It can be divided in two parts, 61236 and 540, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61236540 in words is "sixty-one million, two hundred thirty-six thousand, five hundred forty".