61620480 has 144 divisors (see below), whose sum is σ = 218789760. Its totient is φ = 16422912.

The previous prime is 61620469. The next prime is 61620497. The reversal of 61620480 is 8402616.

61620480 is a `hidden beast` number, since 616 + 2 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×61620480³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33669 + ... + 35451.

Almost surely, 2^61620480 is an apocalyptic number.

61620480 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 61620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109394880).

61620480 is an abundant number, since it is smaller than the sum of its proper divisors (157169280).

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

61620480 is a wasteful number, since it uses less digits than its factorization.

61620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61620480 is about 7849.8713365252. The cubic root of 61620480 is about 394.9799274103.

The spelling of 61620480 in words is "sixty-one million, six hundred twenty thousand, four hundred eighty".