6401616 has 40 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 1969536.

The previous prime is 6401609. The next prime is 6401621. The reversal of 6401616 is 6161046.

It is a super-2 number, since 2×6401616² = 81961374822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

6401616 is a modest number, since divided by 1616 gives 640 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4506 + ... + 5753.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^6401616 is an apocalyptic number.

It is an amenable number.

6401616 is an abundant number, since it is smaller than the sum of its proper divisors (11409744).

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

6401616 is a wasteful number, since it uses less digits than its factorization.

6401616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6401616 is about 2530.1414980194. The cubic root of 6401616 is about 185.6791787119.

The spelling of 6401616 in words is "six million, four hundred one thousand, six hundred sixteen".