61974540 has 72 divisors (see below), whose sum is σ = 189418320. Its totient is φ = 16401024.

The previous prime is 61974533. The next prime is 61974541. The reversal of 61974540 is 4547916.

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 = 61974495 and 61974504.

It is not an unprimeable number, because it can be changed into a prime (61974541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23782 + ... + 26258.

It is an arithmetic number, because the mean of its divisors is an integer number (2630810).

Almost surely, 2^61974540 is an apocalyptic number.

61974540 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 61974540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94709160).

61974540 is an abundant number, since it is smaller than the sum of its proper divisors (127443780).

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

61974540 is a wasteful number, since it uses less digits than its factorization.

61974540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2626 counting only the distinct ones).

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

The square root of 61974540 is about 7872.3909963873. The cubic root of 61974540 is about 395.7349772493.

The spelling of 61974540 in words is "sixty-one million, nine hundred seventy-four thousand, five hundred forty".