61906845 has 192 divisors, whose sum is σ = 147087360. Its totient is φ = 21772800.

The previous prime is 61906841. The next prime is 61906903. The reversal of 61906845 is 54860916.

It is not a de Polignac number, because 61906845 - 2² = 61906841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61906841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1996980 + ... + 1997010.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^61906845 is an apocalyptic number.

61906845 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61906845 is an abundant number, since it is smaller than the sum of its proper divisors (85180515).

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

61906845 is a wasteful number, since it uses less digits than its factorization.

61906845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 61906845 is about 7868.0903019729. The cubic root of 61906845 is about 395.5908372029.

The spelling of 61906845 in words is "sixty-one million, nine hundred six thousand, eight hundred forty-five".