61964406 has 32 divisors (see below), whose sum is σ = 157370880. Its totient is φ = 17704008.

The previous prime is 61964401. The next prime is 61964431. The reversal of 61964406 is 60446916.

61964406 is a `hidden beast` number, since 6 + 1 + 9 + 644 + 0 + 6 = 666.

It is a super-2 number, since 2×61964406² = 7679175221865672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61964401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81586 + ... + 82341.

It is an arithmetic number, because the mean of its divisors is an integer number (4917840).

Almost surely, 2^61964406 is an apocalyptic number.

61964406 is an abundant number, since it is smaller than the sum of its proper divisors (95406474).

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

61964406 is a wasteful number, since it uses less digits than its factorization.

61964406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163945 (or 163939 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61964406 is about 7871.7473282620. The cubic root of 61964406 is about 395.7134060424.

It can be divided in two parts, 619 and 64406, that added together give a square (65025 = 255²).

The spelling of 61964406 in words is "sixty-one million, nine hundred sixty-four thousand, four hundred six".