61476240 has 320 divisors, whose sum is σ = 238841856. Its totient is φ = 12773376.

The previous prime is 61476221. The next prime is 61476251. The reversal of 61476240 is 4267416.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61476198 and 61476207.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1429659 + ... + 1429701.

Almost surely, 2^61476240 is an apocalyptic number.

61476240 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 61476240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

61476240 is an abundant number, since it is smaller than the sum of its proper divisors (177365616).

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

61476240 is a wasteful number, since it uses less digits than its factorization.

61476240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 61476240 is about 7840.6785420651. The cubic root of 61476240 is about 394.6714995654.

It can be divided in two parts, 61476 and 240, that added together give a palindrome (61716).

The spelling of 61476240 in words is "sixty-one million, four hundred seventy-six thousand, two hundred forty".