61296480 has 192 divisors, whose sum is σ = 245306880. Its totient is φ = 14003712.

The previous prime is 61296467. The next prime is 61296481. The reversal of 61296480 is 8469216.

61296480 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61296481) 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, 29227 + ... + 31253.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^61296480 is an apocalyptic number.

61296480 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 61296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

61296480 is an abundant number, since it is smaller than the sum of its proper divisors (184010400).

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

61296480 is a wasteful number, since it uses less digits than its factorization.

61296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61296480 is about 7829.2068563808. The cubic root of 61296480 is about 394.2864434229.

It can be divided in two parts, 61296 and 480, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61296480 in words is "sixty-one million, two hundred ninety-six thousand, four hundred eighty".