61953660 has 120 divisors (see below), whose sum is σ = 196368480. Its totient is φ = 16350336.

The previous prime is 61953643. The next prime is 61953667. The reversal of 61953660 is 6635916.

61953660 is a `hidden beast` number, since 61 + 9 + 536 + 60 = 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 (61953667) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270426 + ... + 270654.

It is an arithmetic number, because the mean of its divisors is an integer number (1636404).

Almost surely, 2^61953660 is an apocalyptic number.

61953660 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 61953660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98184240).

61953660 is an abundant number, since it is smaller than the sum of its proper divisors (134414820).

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

61953660 is a wasteful number, since it uses less digits than its factorization.

61953660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61953660 is about 7871.0647310259. The cubic root of 61953660 is about 395.6905295645.

The spelling of 61953660 in words is "sixty-one million, nine hundred fifty-three thousand, six hundred sixty".