61860480 has 256 divisors, whose sum is σ = 224726400. Its totient is φ = 14336000.

The previous prime is 61860473. The next prime is 61860499. The reversal of 61860480 is 8406816.

61860480 = T₈₁ + T₈₂ + ... + T₇₁₈.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612430 + ... + 612530.

Almost surely, 2^61860480 is an apocalyptic number.

61860480 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 61860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

61860480 is an abundant number, since it is smaller than the sum of its proper divisors (162865920).

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

61860480 is a wasteful number, since it uses less digits than its factorization.

61860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61860480 is about 7865.1433553369. The cubic root of 61860480 is about 395.4920535653.

The spelling of 61860480 in words is "sixty-one million, eight hundred sixty thousand, four hundred eighty".