962476032 has 288 divisors, whose sum is σ = 3137097600. Its totient is φ = 261144576.

The previous prime is 962475991. The next prime is 962476049. The reversal of 962476032 is 230674269.

It is a super-2 number, since 2×962476032² = 1852720224348930048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6924219 + ... + 6924357.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2^962476032 is an apocalyptic number.

962476032 is a gapful number since it is divisible by the number (92) 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 962476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

962476032 is an abundant number, since it is smaller than the sum of its proper divisors (2174621568).

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

962476032 is a wasteful number, since it uses less digits than its factorization.

962476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 962476032 is about 31023.7978332763. The cubic root of 962476032 is about 987.3322155144.

The spelling of 962476032 in words is "nine hundred sixty-two million, four hundred seventy-six thousand, thirty-two".