61906752 has 84 divisors (see below), whose sum is σ = 183221376. Its totient is φ = 19964160.

The previous prime is 61906751. The next prime is 61906771. The reversal of 61906752 is 25760916.

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 (61906751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16123 + ... + 19589.

Almost surely, 2^61906752 is an apocalyptic number.

61906752 is a gapful number since it is divisible by the number (62) 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 61906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91610688).

61906752 is an abundant number, since it is smaller than the sum of its proper divisors (121314624).

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

61906752 is a wasteful number, since it uses less digits than its factorization.

61906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 61906752 is about 7868.0843920233. The cubic root of 61906752 is about 395.5906391098.

The spelling of 61906752 in words is "sixty-one million, nine hundred six thousand, seven hundred fifty-two".